What is the Least Common Multiple of 53700 and 53705?

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 53705 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 53705, than apply into the LCM equation.

GCF(53700,53705) = 5
LCM(53700,53705) = ( 53700 × 53705) / 5
LCM(53700,53705) = 2883958500 / 5
LCM(53700,53705) = 576791700

Least Common Multiple (LCM) of 53700 and 53705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53700 and 53705. First we will calculate the prime factors of 53700 and 53705.

Prime Factorization of 53700

Prime Factorization of 53705

Now multiplying the highest exponent prime factors to calculate the LCM of 53700 and 53705.

LCM(53700,53705) = 2² × 3¹ × 5² × 179¹ × 23¹ × 467¹
LCM(53700,53705) = 576791700