GCF and LCM Calculator Logo

What is the Least Common Multiple of 15630 and 15637?

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 15630 and 15637 is 244406310.

LCM(15630,15637) = 244406310

LCM Calculator and
and

Least Common Multiple of 15630 and 15637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15630 and 15637, than apply into the LCM equation.

GCF(15630,15637) = 1
LCM(15630,15637) = ( 15630 × 15637) / 1
LCM(15630,15637) = 244406310 / 1
LCM(15630,15637) = 244406310

Least Common Multiple (LCM) of 15630 and 15637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15630 and 15637. First we will calculate the prime factors of 15630 and 15637.

Prime Factorization of 15630

Prime factors of 15630 are 2, 3, 5, 521. Prime factorization of 15630 in exponential form is:

15630 = 21 × 31 × 51 × 5211

Prime Factorization of 15637

Prime factors of 15637 are 19, 823. Prime factorization of 15637 in exponential form is:

15637 = 191 × 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 15630 and 15637.

LCM(15630,15637) = 21 × 31 × 51 × 5211 × 191 × 8231
LCM(15630,15637) = 244406310