GCF and LCM Calculator Logo

What is the Least Common Multiple of 4946 and 4953?

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 4946 and 4953 is 24497538.

LCM(4946,4953) = 24497538

LCM Calculator and
and

Least Common Multiple of 4946 and 4953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4946 and 4953, than apply into the LCM equation.

GCF(4946,4953) = 1
LCM(4946,4953) = ( 4946 × 4953) / 1
LCM(4946,4953) = 24497538 / 1
LCM(4946,4953) = 24497538

Least Common Multiple (LCM) of 4946 and 4953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4946 and 4953. First we will calculate the prime factors of 4946 and 4953.

Prime Factorization of 4946

Prime factors of 4946 are 2, 2473. Prime factorization of 4946 in exponential form is:

4946 = 21 × 24731

Prime Factorization of 4953

Prime factors of 4953 are 3, 13, 127. Prime factorization of 4953 in exponential form is:

4953 = 31 × 131 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 4946 and 4953.

LCM(4946,4953) = 21 × 24731 × 31 × 131 × 1271
LCM(4946,4953) = 24497538