GCF and LCM Calculator Logo

What is the Least Common Multiple of 15659 and 15672?

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 15659 and 15672 is 245407848.

LCM(15659,15672) = 245407848

LCM Calculator and
and

Least Common Multiple of 15659 and 15672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15659 and 15672, than apply into the LCM equation.

GCF(15659,15672) = 1
LCM(15659,15672) = ( 15659 × 15672) / 1
LCM(15659,15672) = 245407848 / 1
LCM(15659,15672) = 245407848

Least Common Multiple (LCM) of 15659 and 15672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15659 and 15672. First we will calculate the prime factors of 15659 and 15672.

Prime Factorization of 15659

Prime factors of 15659 are 7, 2237. Prime factorization of 15659 in exponential form is:

15659 = 71 × 22371

Prime Factorization of 15672

Prime factors of 15672 are 2, 3, 653. Prime factorization of 15672 in exponential form is:

15672 = 23 × 31 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 15659 and 15672.

LCM(15659,15672) = 71 × 22371 × 23 × 31 × 6531
LCM(15659,15672) = 245407848