What is the Least Common Multiple of 4964 and 4982?
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 4964 and 4982 is 12365324.
LCM(4964,4982) = 12365324
Least Common Multiple of 4964 and 4982 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4964 and 4982, than apply into the LCM equation.
GCF(4964,4982) = 2
LCM(4964,4982) = ( 4964 × 4982) / 2
LCM(4964,4982) = 24730648 / 2
LCM(4964,4982) = 12365324
Least Common Multiple (LCM) of 4964 and 4982 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4964 and 4982. First we will calculate the prime factors of 4964 and 4982.
Prime Factorization of 4964
Prime factors of 4964 are 2, 17, 73. Prime factorization of 4964 in exponential form is:
4964 = 22 × 171 × 731
Prime Factorization of 4982
Prime factors of 4982 are 2, 47, 53. Prime factorization of 4982 in exponential form is:
4982 = 21 × 471 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 4964 and 4982.
LCM(4964,4982) = 22 × 171 × 731 × 471 × 531
LCM(4964,4982) = 12365324
Related Least Common Multiples of 4964
- LCM of 4964 and 4968
- LCM of 4964 and 4969
- LCM of 4964 and 4970
- LCM of 4964 and 4971
- LCM of 4964 and 4972
- LCM of 4964 and 4973
- LCM of 4964 and 4974
- LCM of 4964 and 4975
- LCM of 4964 and 4976
- LCM of 4964 and 4977
- LCM of 4964 and 4978
- LCM of 4964 and 4979
- LCM of 4964 and 4980
- LCM of 4964 and 4981
- LCM of 4964 and 4982
- LCM of 4964 and 4983
- LCM of 4964 and 4984
Related Least Common Multiples of 4982
- LCM of 4982 and 4986
- LCM of 4982 and 4987
- LCM of 4982 and 4988
- LCM of 4982 and 4989
- LCM of 4982 and 4990
- LCM of 4982 and 4991
- LCM of 4982 and 4992
- LCM of 4982 and 4993
- LCM of 4982 and 4994
- LCM of 4982 and 4995
- LCM of 4982 and 4996
- LCM of 4982 and 4997
- LCM of 4982 and 4998
- LCM of 4982 and 4999
- LCM of 4982 and 5000
- LCM of 4982 and 5001
- LCM of 4982 and 5002