What is the Least Common Multiple of 38784 and 38796?

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 38784 and 38796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38784 and 38796, than apply into the LCM equation.

GCF(38784,38796) = 12
LCM(38784,38796) = ( 38784 × 38796) / 12
LCM(38784,38796) = 1504664064 / 12
LCM(38784,38796) = 125388672

Least Common Multiple (LCM) of 38784 and 38796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38784 and 38796. First we will calculate the prime factors of 38784 and 38796.

Prime Factorization of 38784

Prime Factorization of 38796

Now multiplying the highest exponent prime factors to calculate the LCM of 38784 and 38796.

LCM(38784,38796) = 2⁷ × 3¹ × 101¹ × 53¹ × 61¹
LCM(38784,38796) = 125388672