What is the Least Common Multiple of 15648 and 15657?

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 15648 and 15657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15648 and 15657, than apply into the LCM equation.

GCF(15648,15657) = 3
LCM(15648,15657) = ( 15648 × 15657) / 3
LCM(15648,15657) = 245000736 / 3
LCM(15648,15657) = 81666912

Least Common Multiple (LCM) of 15648 and 15657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15648 and 15657. First we will calculate the prime factors of 15648 and 15657.

Prime Factorization of 15648

Prime Factorization of 15657

Now multiplying the highest exponent prime factors to calculate the LCM of 15648 and 15657.

LCM(15648,15657) = 2⁵ × 3¹ × 163¹ × 17¹ × 307¹
LCM(15648,15657) = 81666912