What is the Least Common Multiple of 38912 and 38925?

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 38925 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 38925, than apply into the LCM equation.

GCF(38912,38925) = 1
LCM(38912,38925) = ( 38912 × 38925) / 1
LCM(38912,38925) = 1514649600 / 1
LCM(38912,38925) = 1514649600

Least Common Multiple (LCM) of 38912 and 38925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38912 and 38925. First we will calculate the prime factors of 38912 and 38925.

Prime Factorization of 38912

Prime Factorization of 38925

Now multiplying the highest exponent prime factors to calculate the LCM of 38912 and 38925.

LCM(38912,38925) = 2¹¹ × 19¹ × 3² × 5² × 173¹
LCM(38912,38925) = 1514649600