What is the Least Common Multiple of 38176 and 38196?

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 38176 and 38196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38176 and 38196, than apply into the LCM equation.

GCF(38176,38196) = 4
LCM(38176,38196) = ( 38176 × 38196) / 4
LCM(38176,38196) = 1458170496 / 4
LCM(38176,38196) = 364542624

Least Common Multiple (LCM) of 38176 and 38196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38176 and 38196. First we will calculate the prime factors of 38176 and 38196.

Prime Factorization of 38176

Prime Factorization of 38196

Now multiplying the highest exponent prime factors to calculate the LCM of 38176 and 38196.

LCM(38176,38196) = 2⁵ × 1193¹ × 3² × 1061¹
LCM(38176,38196) = 364542624