What is the Least Common Multiple of 59709 and 59727?

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 59727 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 59727, than apply into the LCM equation.

GCF(59709,59727) = 3
LCM(59709,59727) = ( 59709 × 59727) / 3
LCM(59709,59727) = 3566239443 / 3
LCM(59709,59727) = 1188746481

Least Common Multiple (LCM) of 59709 and 59727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59709 and 59727. First we will calculate the prime factors of 59709 and 59727.

Prime Factorization of 59709

Prime Factorization of 59727

Now multiplying the highest exponent prime factors to calculate the LCM of 59709 and 59727.

LCM(59709,59727) = 3¹ × 13¹ × 1531¹ × 43¹ × 463¹
LCM(59709,59727) = 1188746481