GCF and LCM Calculator Logo

What is the Least Common Multiple of 23627 and 23632?

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 23627 and 23632 is 558353264.

LCM(23627,23632) = 558353264

LCM Calculator and
and

Least Common Multiple of 23627 and 23632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23627 and 23632, than apply into the LCM equation.

GCF(23627,23632) = 1
LCM(23627,23632) = ( 23627 × 23632) / 1
LCM(23627,23632) = 558353264 / 1
LCM(23627,23632) = 558353264

Least Common Multiple (LCM) of 23627 and 23632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23627 and 23632. First we will calculate the prime factors of 23627 and 23632.

Prime Factorization of 23627

Prime factors of 23627 are 23627. Prime factorization of 23627 in exponential form is:

23627 = 236271

Prime Factorization of 23632

Prime factors of 23632 are 2, 7, 211. Prime factorization of 23632 in exponential form is:

23632 = 24 × 71 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 23627 and 23632.

LCM(23627,23632) = 236271 × 24 × 71 × 2111
LCM(23627,23632) = 558353264