What is the Least Common Multiple of 53700 and 53712?

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 53700 and 53712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53700 and 53712, than apply into the LCM equation.

GCF(53700,53712) = 12
LCM(53700,53712) = ( 53700 × 53712) / 12
LCM(53700,53712) = 2884334400 / 12
LCM(53700,53712) = 240361200

Least Common Multiple (LCM) of 53700 and 53712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53700 and 53712. First we will calculate the prime factors of 53700 and 53712.

Prime Factorization of 53700

Prime Factorization of 53712

Now multiplying the highest exponent prime factors to calculate the LCM of 53700 and 53712.

LCM(53700,53712) = 2⁴ × 3² × 5² × 179¹ × 373¹
LCM(53700,53712) = 240361200