GCF and LCM Calculator Logo

What is the Least Common Multiple of 4968 and 4986?

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 4968 and 4986 is 1376136.

LCM(4968,4986) = 1376136

LCM Calculator and
and

Least Common Multiple of 4968 and 4986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4968 and 4986, than apply into the LCM equation.

GCF(4968,4986) = 18
LCM(4968,4986) = ( 4968 × 4986) / 18
LCM(4968,4986) = 24770448 / 18
LCM(4968,4986) = 1376136

Least Common Multiple (LCM) of 4968 and 4986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4968 and 4986. First we will calculate the prime factors of 4968 and 4986.

Prime Factorization of 4968

Prime factors of 4968 are 2, 3, 23. Prime factorization of 4968 in exponential form is:

4968 = 23 × 33 × 231

Prime Factorization of 4986

Prime factors of 4986 are 2, 3, 277. Prime factorization of 4986 in exponential form is:

4986 = 21 × 32 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 4968 and 4986.

LCM(4968,4986) = 23 × 33 × 231 × 2771
LCM(4968,4986) = 1376136