What is the Least Common Multiple of 57348 and 57364?

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 57348 and 57364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57348 and 57364, than apply into the LCM equation.

GCF(57348,57364) = 4
LCM(57348,57364) = ( 57348 × 57364) / 4
LCM(57348,57364) = 3289710672 / 4
LCM(57348,57364) = 822427668

Least Common Multiple (LCM) of 57348 and 57364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57348 and 57364. First we will calculate the prime factors of 57348 and 57364.

Prime Factorization of 57348

Prime Factorization of 57364

Now multiplying the highest exponent prime factors to calculate the LCM of 57348 and 57364.

LCM(57348,57364) = 2² × 3⁵ × 59¹ × 14341¹
LCM(57348,57364) = 822427668