What is the Least Common Multiple of 57549 and 57560?

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 57549 and 57560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57549 and 57560, than apply into the LCM equation.

GCF(57549,57560) = 1
LCM(57549,57560) = ( 57549 × 57560) / 1
LCM(57549,57560) = 3312520440 / 1
LCM(57549,57560) = 3312520440

Least Common Multiple (LCM) of 57549 and 57560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57549 and 57560. First we will calculate the prime factors of 57549 and 57560.

Prime Factorization of 57549

Prime Factorization of 57560

Now multiplying the highest exponent prime factors to calculate the LCM of 57549 and 57560.

LCM(57549,57560) = 3¹ × 19183¹ × 2³ × 5¹ × 1439¹
LCM(57549,57560) = 3312520440