What is the Least Common Multiple of 53745 and 53751?

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 53751 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 53751, than apply into the LCM equation.

GCF(53745,53751) = 3
LCM(53745,53751) = ( 53745 × 53751) / 3
LCM(53745,53751) = 2888847495 / 3
LCM(53745,53751) = 962949165

Least Common Multiple (LCM) of 53745 and 53751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53745 and 53751. First we will calculate the prime factors of 53745 and 53751.

Prime Factorization of 53745

Prime Factorization of 53751

Now multiplying the highest exponent prime factors to calculate the LCM of 53745 and 53751.

LCM(53745,53751) = 3¹ × 5¹ × 3583¹ × 19¹ × 23¹ × 41¹
LCM(53745,53751) = 962949165