What is the Least Common Multiple of 66990 and 67009?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 66990 and 67009 is 4488932910.
LCM(66990,67009) = 4488932910
Least Common Multiple of 66990 and 67009 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66990 and 67009, than apply into the LCM equation.
GCF(66990,67009) = 1
LCM(66990,67009) = ( 66990 × 67009) / 1
LCM(66990,67009) = 4488932910 / 1
LCM(66990,67009) = 4488932910
Least Common Multiple (LCM) of 66990 and 67009 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66990 and 67009. First we will calculate the prime factors of 66990 and 67009.
Prime Factorization of 66990
Prime factors of 66990 are 2, 3, 5, 7, 11, 29. Prime factorization of 66990 in exponential form is:
66990 = 21 × 31 × 51 × 71 × 111 × 291
Prime Factorization of 67009
Prime factors of 67009 are 113, 593. Prime factorization of 67009 in exponential form is:
67009 = 1131 × 5931
Now multiplying the highest exponent prime factors to calculate the LCM of 66990 and 67009.
LCM(66990,67009) = 21 × 31 × 51 × 71 × 111 × 291 × 1131 × 5931
LCM(66990,67009) = 4488932910
Related Least Common Multiples of 66990
- LCM of 66990 and 66994
- LCM of 66990 and 66995
- LCM of 66990 and 66996
- LCM of 66990 and 66997
- LCM of 66990 and 66998
- LCM of 66990 and 66999
- LCM of 66990 and 67000
- LCM of 66990 and 67001
- LCM of 66990 and 67002
- LCM of 66990 and 67003
- LCM of 66990 and 67004
- LCM of 66990 and 67005
- LCM of 66990 and 67006
- LCM of 66990 and 67007
- LCM of 66990 and 67008
- LCM of 66990 and 67009
- LCM of 66990 and 67010
Related Least Common Multiples of 67009
- LCM of 67009 and 67013
- LCM of 67009 and 67014
- LCM of 67009 and 67015
- LCM of 67009 and 67016
- LCM of 67009 and 67017
- LCM of 67009 and 67018
- LCM of 67009 and 67019
- LCM of 67009 and 67020
- LCM of 67009 and 67021
- LCM of 67009 and 67022
- LCM of 67009 and 67023
- LCM of 67009 and 67024
- LCM of 67009 and 67025
- LCM of 67009 and 67026
- LCM of 67009 and 67027
- LCM of 67009 and 67028
- LCM of 67009 and 67029