What is the Least Common Multiple of 57609 and 57613?

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 57613 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 57613, than apply into the LCM equation.

GCF(57609,57613) = 1
LCM(57609,57613) = ( 57609 × 57613) / 1
LCM(57609,57613) = 3319027317 / 1
LCM(57609,57613) = 3319027317

Least Common Multiple (LCM) of 57609 and 57613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57609 and 57613. First we will calculate the prime factors of 57609 and 57613.

Prime Factorization of 57609

Prime Factorization of 57613

Now multiplying the highest exponent prime factors to calculate the LCM of 57609 and 57613.

LCM(57609,57613) = 3² × 37¹ × 173¹ × 17¹ × 3389¹
LCM(57609,57613) = 3319027317