What is the Least Common Multiple of 59646 and 59659?

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 59646 and 59659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59646 and 59659, than apply into the LCM equation.

GCF(59646,59659) = 1
LCM(59646,59659) = ( 59646 × 59659) / 1
LCM(59646,59659) = 3558420714 / 1
LCM(59646,59659) = 3558420714

Least Common Multiple (LCM) of 59646 and 59659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59646 and 59659. First we will calculate the prime factors of 59646 and 59659.

Prime Factorization of 59646

Prime Factorization of 59659

Now multiplying the highest exponent prime factors to calculate the LCM of 59646 and 59659.

LCM(59646,59659) = 2¹ × 3¹ × 9941¹ × 59659¹
LCM(59646,59659) = 3558420714