What is the Least Common Multiple of 53600 and 53612?

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 53600 and 53612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53600 and 53612, than apply into the LCM equation.

GCF(53600,53612) = 4
LCM(53600,53612) = ( 53600 × 53612) / 4
LCM(53600,53612) = 2873603200 / 4
LCM(53600,53612) = 718400800

Least Common Multiple (LCM) of 53600 and 53612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53600 and 53612. First we will calculate the prime factors of 53600 and 53612.

Prime Factorization of 53600

Prime Factorization of 53612

Now multiplying the highest exponent prime factors to calculate the LCM of 53600 and 53612.

LCM(53600,53612) = 2⁵ × 5² × 67¹ × 13¹ × 1031¹
LCM(53600,53612) = 718400800