What is the Least Common Multiple of 38736 and 38749?

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 38749 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 38749, than apply into the LCM equation.

GCF(38736,38749) = 1
LCM(38736,38749) = ( 38736 × 38749) / 1
LCM(38736,38749) = 1500981264 / 1
LCM(38736,38749) = 1500981264

Least Common Multiple (LCM) of 38736 and 38749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38736 and 38749. First we will calculate the prime factors of 38736 and 38749.

Prime Factorization of 38736

Prime Factorization of 38749

Now multiplying the highest exponent prime factors to calculate the LCM of 38736 and 38749.

LCM(38736,38749) = 2⁴ × 3² × 269¹ × 38749¹
LCM(38736,38749) = 1500981264