What is the Least Common Multiple of 59676 and 59696?

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 59676 and 59696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59676 and 59696, than apply into the LCM equation.

GCF(59676,59696) = 4
LCM(59676,59696) = ( 59676 × 59696) / 4
LCM(59676,59696) = 3562418496 / 4
LCM(59676,59696) = 890604624

Least Common Multiple (LCM) of 59676 and 59696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59676 and 59696. First we will calculate the prime factors of 59676 and 59696.

Prime Factorization of 59676

Prime Factorization of 59696

Now multiplying the highest exponent prime factors to calculate the LCM of 59676 and 59696.

LCM(59676,59696) = 2⁴ × 3¹ × 4973¹ × 7¹ × 13¹ × 41¹
LCM(59676,59696) = 890604624