What is the Least Common Multiple of 57609 and 57623?

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 57609 and 57623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57609 and 57623, than apply into the LCM equation.

GCF(57609,57623) = 1
LCM(57609,57623) = ( 57609 × 57623) / 1
LCM(57609,57623) = 3319603407 / 1
LCM(57609,57623) = 3319603407

Least Common Multiple (LCM) of 57609 and 57623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57609 and 57623. First we will calculate the prime factors of 57609 and 57623.

Prime Factorization of 57609

Prime Factorization of 57623

Now multiplying the highest exponent prime factors to calculate the LCM of 57609 and 57623.

LCM(57609,57623) = 3² × 37¹ × 173¹ × 29¹ × 1987¹
LCM(57609,57623) = 3319603407