What is the Least Common Multiple of 59640 and 59652?

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 59640 and 59652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59640 and 59652, than apply into the LCM equation.

GCF(59640,59652) = 12
LCM(59640,59652) = ( 59640 × 59652) / 12
LCM(59640,59652) = 3557645280 / 12
LCM(59640,59652) = 296470440

Least Common Multiple (LCM) of 59640 and 59652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59640 and 59652. First we will calculate the prime factors of 59640 and 59652.

Prime Factorization of 59640

Prime Factorization of 59652

Now multiplying the highest exponent prime factors to calculate the LCM of 59640 and 59652.

LCM(59640,59652) = 2³ × 3² × 5¹ × 7¹ × 71¹ × 1657¹
LCM(59640,59652) = 296470440