What is the Least Common Multiple of 60888 and 60894?

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 60888 and 60894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60888 and 60894, than apply into the LCM equation.

GCF(60888,60894) = 6
LCM(60888,60894) = ( 60888 × 60894) / 6
LCM(60888,60894) = 3707713872 / 6
LCM(60888,60894) = 617952312

Least Common Multiple (LCM) of 60888 and 60894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60888 and 60894. First we will calculate the prime factors of 60888 and 60894.

Prime Factorization of 60888

Prime Factorization of 60894

Now multiplying the highest exponent prime factors to calculate the LCM of 60888 and 60894.

LCM(60888,60894) = 2³ × 3² × 43¹ × 59¹ × 17¹ × 199¹
LCM(60888,60894) = 617952312