What is the Least Common Multiple of 59709 and 59720?

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 59720 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 59720, than apply into the LCM equation.

GCF(59709,59720) = 1
LCM(59709,59720) = ( 59709 × 59720) / 1
LCM(59709,59720) = 3565821480 / 1
LCM(59709,59720) = 3565821480

Least Common Multiple (LCM) of 59709 and 59720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59709 and 59720. First we will calculate the prime factors of 59709 and 59720.

Prime Factorization of 59709

Prime Factorization of 59720

Now multiplying the highest exponent prime factors to calculate the LCM of 59709 and 59720.

LCM(59709,59720) = 3¹ × 13¹ × 1531¹ × 2³ × 5¹ × 1493¹
LCM(59709,59720) = 3565821480