What is the Least Common Multiple of 53556 and 53574?

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 53556 and 53574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53556 and 53574, than apply into the LCM equation.

GCF(53556,53574) = 6
LCM(53556,53574) = ( 53556 × 53574) / 6
LCM(53556,53574) = 2869209144 / 6
LCM(53556,53574) = 478201524

Least Common Multiple (LCM) of 53556 and 53574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53556 and 53574. First we will calculate the prime factors of 53556 and 53574.

Prime Factorization of 53556

Prime Factorization of 53574

Now multiplying the highest exponent prime factors to calculate the LCM of 53556 and 53574.

LCM(53556,53574) = 2² × 3¹ × 4463¹ × 8929¹
LCM(53556,53574) = 478201524