GCF and LCM Calculator Logo

What is the Least Common Multiple of 4636 and 4649?

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 4636 and 4649 is 21552764.

LCM(4636,4649) = 21552764

LCM Calculator and
and

Least Common Multiple of 4636 and 4649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4636 and 4649, than apply into the LCM equation.

GCF(4636,4649) = 1
LCM(4636,4649) = ( 4636 × 4649) / 1
LCM(4636,4649) = 21552764 / 1
LCM(4636,4649) = 21552764

Least Common Multiple (LCM) of 4636 and 4649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4636 and 4649. First we will calculate the prime factors of 4636 and 4649.

Prime Factorization of 4636

Prime factors of 4636 are 2, 19, 61. Prime factorization of 4636 in exponential form is:

4636 = 22 × 191 × 611

Prime Factorization of 4649

Prime factors of 4649 are 4649. Prime factorization of 4649 in exponential form is:

4649 = 46491

Now multiplying the highest exponent prime factors to calculate the LCM of 4636 and 4649.

LCM(4636,4649) = 22 × 191 × 611 × 46491
LCM(4636,4649) = 21552764