What is the Least Common Multiple of 93798 and 93816?

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 93798 and 93816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93798 and 93816, than apply into the LCM equation.

GCF(93798,93816) = 18
LCM(93798,93816) = ( 93798 × 93816) / 18
LCM(93798,93816) = 8799753168 / 18
LCM(93798,93816) = 488875176

Least Common Multiple (LCM) of 93798 and 93816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93798 and 93816. First we will calculate the prime factors of 93798 and 93816.

Prime Factorization of 93798

Prime Factorization of 93816

Now multiplying the highest exponent prime factors to calculate the LCM of 93798 and 93816.

LCM(93798,93816) = 2³ × 3⁵ × 193¹ × 1303¹
LCM(93798,93816) = 488875176