What is the Least Common Multiple of 15660 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 of 15660 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 15660 and 15672, than apply into the LCM equation.

GCF(15660,15672) = 12
LCM(15660,15672) = ( 15660 × 15672) / 12
LCM(15660,15672) = 245423520 / 12
LCM(15660,15672) = 20451960

Least Common Multiple (LCM) of 15660 and 15672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15660 and 15672. First we will calculate the prime factors of 15660 and 15672.

Prime Factorization of 15660

Prime Factorization of 15672

Now multiplying the highest exponent prime factors to calculate the LCM of 15660 and 15672.

LCM(15660,15672) = 2³ × 3³ × 5¹ × 29¹ × 653¹
LCM(15660,15672) = 20451960