What is the Least Common Multiple of 57735 and 57753?

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 57735 and 57753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57735 and 57753, than apply into the LCM equation.

GCF(57735,57753) = 9
LCM(57735,57753) = ( 57735 × 57753) / 9
LCM(57735,57753) = 3334369455 / 9
LCM(57735,57753) = 370485495

Least Common Multiple (LCM) of 57735 and 57753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57735 and 57753. First we will calculate the prime factors of 57735 and 57753.

Prime Factorization of 57735

Prime Factorization of 57753

Now multiplying the highest exponent prime factors to calculate the LCM of 57735 and 57753.

LCM(57735,57753) = 3⁴ × 5¹ × 1283¹ × 23¹ × 31¹
LCM(57735,57753) = 370485495