What is the Least Common Multiple of 59919 and 59928?

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 59919 and 59928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59919 and 59928, than apply into the LCM equation.

GCF(59919,59928) = 3
LCM(59919,59928) = ( 59919 × 59928) / 3
LCM(59919,59928) = 3590825832 / 3
LCM(59919,59928) = 1196941944

Least Common Multiple (LCM) of 59919 and 59928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59919 and 59928. First we will calculate the prime factors of 59919 and 59928.

Prime Factorization of 59919

Prime Factorization of 59928

Now multiplying the highest exponent prime factors to calculate the LCM of 59919 and 59928.

LCM(59919,59928) = 3¹ × 19973¹ × 2³ × 11¹ × 227¹
LCM(59919,59928) = 1196941944