What is the Least Common Multiple of 53544 and 53552?

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 53544 and 53552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53544 and 53552, than apply into the LCM equation.

GCF(53544,53552) = 8
LCM(53544,53552) = ( 53544 × 53552) / 8
LCM(53544,53552) = 2867388288 / 8
LCM(53544,53552) = 358423536

Least Common Multiple (LCM) of 53544 and 53552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53544 and 53552. First we will calculate the prime factors of 53544 and 53552.

Prime Factorization of 53544

Prime Factorization of 53552

Now multiplying the highest exponent prime factors to calculate the LCM of 53544 and 53552.

LCM(53544,53552) = 2⁴ × 3¹ × 23¹ × 97¹ × 3347¹
LCM(53544,53552) = 358423536