What is the Least Common Multiple of 53745 and 53750?

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 53745 and 53750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53745 and 53750, than apply into the LCM equation.

GCF(53745,53750) = 5
LCM(53745,53750) = ( 53745 × 53750) / 5
LCM(53745,53750) = 2888793750 / 5
LCM(53745,53750) = 577758750

Least Common Multiple (LCM) of 53745 and 53750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53745 and 53750. First we will calculate the prime factors of 53745 and 53750.

Prime Factorization of 53745

Prime Factorization of 53750

Now multiplying the highest exponent prime factors to calculate the LCM of 53745 and 53750.

LCM(53745,53750) = 3¹ × 5⁴ × 3583¹ × 2¹ × 43¹
LCM(53745,53750) = 577758750