What is the Least Common Multiple of 38736 and 38748?

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 38736 and 38748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38736 and 38748, than apply into the LCM equation.

GCF(38736,38748) = 12
LCM(38736,38748) = ( 38736 × 38748) / 12
LCM(38736,38748) = 1500942528 / 12
LCM(38736,38748) = 125078544

Least Common Multiple (LCM) of 38736 and 38748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38736 and 38748. First we will calculate the prime factors of 38736 and 38748.

Prime Factorization of 38736

Prime Factorization of 38748

Now multiplying the highest exponent prime factors to calculate the LCM of 38736 and 38748.

LCM(38736,38748) = 2⁴ × 3² × 269¹ × 3229¹
LCM(38736,38748) = 125078544