What is the Least Common Multiple of 15966 and 15972?

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 15966 and 15972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15966 and 15972, than apply into the LCM equation.

GCF(15966,15972) = 6
LCM(15966,15972) = ( 15966 × 15972) / 6
LCM(15966,15972) = 255008952 / 6
LCM(15966,15972) = 42501492

Least Common Multiple (LCM) of 15966 and 15972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15966 and 15972. First we will calculate the prime factors of 15966 and 15972.

Prime Factorization of 15966

Prime Factorization of 15972

Now multiplying the highest exponent prime factors to calculate the LCM of 15966 and 15972.

LCM(15966,15972) = 2² × 3² × 887¹ × 11³
LCM(15966,15972) = 42501492