What is the Least Common Multiple of 4989 and 5005?
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 4989 and 5005 is 24969945.
LCM(4989,5005) = 24969945
Least Common Multiple of 4989 and 5005 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4989 and 5005, than apply into the LCM equation.
GCF(4989,5005) = 1
LCM(4989,5005) = ( 4989 × 5005) / 1
LCM(4989,5005) = 24969945 / 1
LCM(4989,5005) = 24969945
Least Common Multiple (LCM) of 4989 and 5005 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4989 and 5005. First we will calculate the prime factors of 4989 and 5005.
Prime Factorization of 4989
Prime factors of 4989 are 3, 1663. Prime factorization of 4989 in exponential form is:
4989 = 31 × 16631
Prime Factorization of 5005
Prime factors of 5005 are 5, 7, 11, 13. Prime factorization of 5005 in exponential form is:
5005 = 51 × 71 × 111 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 4989 and 5005.
LCM(4989,5005) = 31 × 16631 × 51 × 71 × 111 × 131
LCM(4989,5005) = 24969945
Related Least Common Multiples of 4989
- LCM of 4989 and 4993
- LCM of 4989 and 4994
- LCM of 4989 and 4995
- LCM of 4989 and 4996
- LCM of 4989 and 4997
- LCM of 4989 and 4998
- LCM of 4989 and 4999
- LCM of 4989 and 5000
- LCM of 4989 and 5001
- LCM of 4989 and 5002
- LCM of 4989 and 5003
- LCM of 4989 and 5004
- LCM of 4989 and 5005
- LCM of 4989 and 5006
- LCM of 4989 and 5007
- LCM of 4989 and 5008
- LCM of 4989 and 5009
Related Least Common Multiples of 5005
- LCM of 5005 and 5009
- LCM of 5005 and 5010
- LCM of 5005 and 5011
- LCM of 5005 and 5012
- LCM of 5005 and 5013
- LCM of 5005 and 5014
- LCM of 5005 and 5015
- LCM of 5005 and 5016
- LCM of 5005 and 5017
- LCM of 5005 and 5018
- LCM of 5005 and 5019
- LCM of 5005 and 5020
- LCM of 5005 and 5021
- LCM of 5005 and 5022
- LCM of 5005 and 5023
- LCM of 5005 and 5024
- LCM of 5005 and 5025