What is the Least Common Multiple of 38124 and 38144?

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 38124 and 38144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38124 and 38144, than apply into the LCM equation.

GCF(38124,38144) = 4
LCM(38124,38144) = ( 38124 × 38144) / 4
LCM(38124,38144) = 1454201856 / 4
LCM(38124,38144) = 363550464

Least Common Multiple (LCM) of 38124 and 38144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38124 and 38144. First we will calculate the prime factors of 38124 and 38144.

Prime Factorization of 38124

Prime Factorization of 38144

Now multiplying the highest exponent prime factors to calculate the LCM of 38124 and 38144.

LCM(38124,38144) = 2⁸ × 3³ × 353¹ × 149¹
LCM(38124,38144) = 363550464