What is the Least Common Multiple of 59613 and 59617?

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 59613 and 59617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59613 and 59617, than apply into the LCM equation.

GCF(59613,59617) = 1
LCM(59613,59617) = ( 59613 × 59617) / 1
LCM(59613,59617) = 3553948221 / 1
LCM(59613,59617) = 3553948221

Least Common Multiple (LCM) of 59613 and 59617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59613 and 59617. First we will calculate the prime factors of 59613 and 59617.

Prime Factorization of 59613

Prime Factorization of 59617

Now multiplying the highest exponent prime factors to calculate the LCM of 59613 and 59617.

LCM(59613,59617) = 3¹ × 31¹ × 641¹ × 59617¹
LCM(59613,59617) = 3553948221