What is the Least Common Multiple of 59675 and 59680?

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 59675 and 59680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59675 and 59680, than apply into the LCM equation.

GCF(59675,59680) = 5
LCM(59675,59680) = ( 59675 × 59680) / 5
LCM(59675,59680) = 3561404000 / 5
LCM(59675,59680) = 712280800

Least Common Multiple (LCM) of 59675 and 59680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59675 and 59680. First we will calculate the prime factors of 59675 and 59680.

Prime Factorization of 59675

Prime Factorization of 59680

Now multiplying the highest exponent prime factors to calculate the LCM of 59675 and 59680.

LCM(59675,59680) = 5² × 7¹ × 11¹ × 31¹ × 2⁵ × 373¹
LCM(59675,59680) = 712280800