What is the Least Common Multiple of 15928 and 15944?

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 of 15928 and 15944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15928 and 15944, than apply into the LCM equation.

GCF(15928,15944) = 8
LCM(15928,15944) = ( 15928 × 15944) / 8
LCM(15928,15944) = 253956032 / 8
LCM(15928,15944) = 31744504

Least Common Multiple (LCM) of 15928 and 15944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15928 and 15944. First we will calculate the prime factors of 15928 and 15944.

Prime Factorization of 15928

Prime Factorization of 15944

Now multiplying the highest exponent prime factors to calculate the LCM of 15928 and 15944.

LCM(15928,15944) = 2³ × 11¹ × 181¹ × 1993¹
LCM(15928,15944) = 31744504