What is the Least Common Multiple of 59709 and 59724?

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 59709 and 59724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59709 and 59724, than apply into the LCM equation.

GCF(59709,59724) = 3
LCM(59709,59724) = ( 59709 × 59724) / 3
LCM(59709,59724) = 3566060316 / 3
LCM(59709,59724) = 1188686772

Least Common Multiple (LCM) of 59709 and 59724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59709 and 59724. First we will calculate the prime factors of 59709 and 59724.

Prime Factorization of 59709

Prime Factorization of 59724

Now multiplying the highest exponent prime factors to calculate the LCM of 59709 and 59724.

LCM(59709,59724) = 3³ × 13¹ × 1531¹ × 2² × 7¹ × 79¹
LCM(59709,59724) = 1188686772