What is the Least Common Multiple of 59680 and 59700?

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 59680 and 59700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59680 and 59700, than apply into the LCM equation.

GCF(59680,59700) = 20
LCM(59680,59700) = ( 59680 × 59700) / 20
LCM(59680,59700) = 3562896000 / 20
LCM(59680,59700) = 178144800

Least Common Multiple (LCM) of 59680 and 59700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59680 and 59700. First we will calculate the prime factors of 59680 and 59700.

Prime Factorization of 59680

Prime Factorization of 59700

Now multiplying the highest exponent prime factors to calculate the LCM of 59680 and 59700.

LCM(59680,59700) = 2⁵ × 5² × 373¹ × 3¹ × 199¹
LCM(59680,59700) = 178144800