What is the Least Common Multiple of 38912 and 38922?

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 38912 and 38922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38912 and 38922, than apply into the LCM equation.

GCF(38912,38922) = 2
LCM(38912,38922) = ( 38912 × 38922) / 2
LCM(38912,38922) = 1514532864 / 2
LCM(38912,38922) = 757266432

Least Common Multiple (LCM) of 38912 and 38922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38912 and 38922. First we will calculate the prime factors of 38912 and 38922.

Prime Factorization of 38912

Prime Factorization of 38922

Now multiplying the highest exponent prime factors to calculate the LCM of 38912 and 38922.

LCM(38912,38922) = 2¹¹ × 19¹ × 3¹ × 13¹ × 499¹
LCM(38912,38922) = 757266432