What is the Least Common Multiple of 57348 and 57353?

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 57353 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 57353, than apply into the LCM equation.

GCF(57348,57353) = 1
LCM(57348,57353) = ( 57348 × 57353) / 1
LCM(57348,57353) = 3289079844 / 1
LCM(57348,57353) = 3289079844

Least Common Multiple (LCM) of 57348 and 57353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57348 and 57353. First we will calculate the prime factors of 57348 and 57353.

Prime Factorization of 57348

Prime Factorization of 57353

Now multiplying the highest exponent prime factors to calculate the LCM of 57348 and 57353.

LCM(57348,57353) = 2² × 3⁵ × 59¹ × 83¹ × 691¹
LCM(57348,57353) = 3289079844