GCF and LCM Calculator Logo

What is the Least Common Multiple of 4975 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 4975 and 4986 is 24805350.

LCM(4975,4986) = 24805350

LCM Calculator and
and

Least Common Multiple of 4975 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 4975 and 4986, than apply into the LCM equation.

GCF(4975,4986) = 1
LCM(4975,4986) = ( 4975 × 4986) / 1
LCM(4975,4986) = 24805350 / 1
LCM(4975,4986) = 24805350

Least Common Multiple (LCM) of 4975 and 4986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4975 and 4986. First we will calculate the prime factors of 4975 and 4986.

Prime Factorization of 4975

Prime factors of 4975 are 5, 199. Prime factorization of 4975 in exponential form is:

4975 = 52 × 1991

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 4975 and 4986.

LCM(4975,4986) = 52 × 1991 × 21 × 32 × 2771
LCM(4975,4986) = 24805350