What is the Least Common Multiple of 15538 and 15552?

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 15538 and 15552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15538 and 15552, than apply into the LCM equation.

GCF(15538,15552) = 2
LCM(15538,15552) = ( 15538 × 15552) / 2
LCM(15538,15552) = 241646976 / 2
LCM(15538,15552) = 120823488

Least Common Multiple (LCM) of 15538 and 15552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15538 and 15552. First we will calculate the prime factors of 15538 and 15552.

Prime Factorization of 15538

Prime Factorization of 15552

Now multiplying the highest exponent prime factors to calculate the LCM of 15538 and 15552.

LCM(15538,15552) = 2⁶ × 17¹ × 457¹ × 3⁵
LCM(15538,15552) = 120823488