What is the Least Common Multiple of 59916 and 59925?

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 59916 and 59925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59916 and 59925, than apply into the LCM equation.

GCF(59916,59925) = 3
LCM(59916,59925) = ( 59916 × 59925) / 3
LCM(59916,59925) = 3590466300 / 3
LCM(59916,59925) = 1196822100

Least Common Multiple (LCM) of 59916 and 59925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59916 and 59925. First we will calculate the prime factors of 59916 and 59925.

Prime Factorization of 59916

Prime Factorization of 59925

Now multiplying the highest exponent prime factors to calculate the LCM of 59916 and 59925.

LCM(59916,59925) = 2² × 3¹ × 4993¹ × 5² × 17¹ × 47¹
LCM(59916,59925) = 1196822100