What is the Least Common Multiple of 59680 and 59695?

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 59695 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 59695, than apply into the LCM equation.

GCF(59680,59695) = 5
LCM(59680,59695) = ( 59680 × 59695) / 5
LCM(59680,59695) = 3562597600 / 5
LCM(59680,59695) = 712519520

Least Common Multiple (LCM) of 59680 and 59695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59680 and 59695. First we will calculate the prime factors of 59680 and 59695.

Prime Factorization of 59680

Prime Factorization of 59695

Now multiplying the highest exponent prime factors to calculate the LCM of 59680 and 59695.

LCM(59680,59695) = 2⁵ × 5¹ × 373¹ × 11939¹
LCM(59680,59695) = 712519520