What is the Least Common Multiple of 59908 and 59916?

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 59908 and 59916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59908 and 59916, than apply into the LCM equation.

GCF(59908,59916) = 4
LCM(59908,59916) = ( 59908 × 59916) / 4
LCM(59908,59916) = 3589447728 / 4
LCM(59908,59916) = 897361932

Least Common Multiple (LCM) of 59908 and 59916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59908 and 59916. First we will calculate the prime factors of 59908 and 59916.

Prime Factorization of 59908

Prime Factorization of 59916

Now multiplying the highest exponent prime factors to calculate the LCM of 59908 and 59916.

LCM(59908,59916) = 2² × 17¹ × 881¹ × 3¹ × 4993¹
LCM(59908,59916) = 897361932