What is the Least Common Multiple of 66997 and 67004?
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 66997 and 67004 is 641295284.
LCM(66997,67004) = 641295284
Least Common Multiple of 66997 and 67004 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66997 and 67004, than apply into the LCM equation.
GCF(66997,67004) = 7
LCM(66997,67004) = ( 66997 × 67004) / 7
LCM(66997,67004) = 4489066988 / 7
LCM(66997,67004) = 641295284
Least Common Multiple (LCM) of 66997 and 67004 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66997 and 67004. First we will calculate the prime factors of 66997 and 67004.
Prime Factorization of 66997
Prime factors of 66997 are 7, 17, 563. Prime factorization of 66997 in exponential form is:
66997 = 71 × 171 × 5631
Prime Factorization of 67004
Prime factors of 67004 are 2, 7, 2393. Prime factorization of 67004 in exponential form is:
67004 = 22 × 71 × 23931
Now multiplying the highest exponent prime factors to calculate the LCM of 66997 and 67004.
LCM(66997,67004) = 71 × 171 × 5631 × 22 × 23931
LCM(66997,67004) = 641295284
Related Least Common Multiples of 66997
- LCM of 66997 and 67001
- LCM of 66997 and 67002
- LCM of 66997 and 67003
- LCM of 66997 and 67004
- LCM of 66997 and 67005
- LCM of 66997 and 67006
- LCM of 66997 and 67007
- LCM of 66997 and 67008
- LCM of 66997 and 67009
- LCM of 66997 and 67010
- LCM of 66997 and 67011
- LCM of 66997 and 67012
- LCM of 66997 and 67013
- LCM of 66997 and 67014
- LCM of 66997 and 67015
- LCM of 66997 and 67016
- LCM of 66997 and 67017
Related Least Common Multiples of 67004
- LCM of 67004 and 67008
- LCM of 67004 and 67009
- LCM of 67004 and 67010
- LCM of 67004 and 67011
- LCM of 67004 and 67012
- LCM of 67004 and 67013
- LCM of 67004 and 67014
- LCM of 67004 and 67015
- LCM of 67004 and 67016
- LCM of 67004 and 67017
- LCM of 67004 and 67018
- LCM of 67004 and 67019
- LCM of 67004 and 67020
- LCM of 67004 and 67021
- LCM of 67004 and 67022
- LCM of 67004 and 67023
- LCM of 67004 and 67024