What is the Least Common Multiple of 38928 and 38937?

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 38928 and 38937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38928 and 38937, than apply into the LCM equation.

GCF(38928,38937) = 3
LCM(38928,38937) = ( 38928 × 38937) / 3
LCM(38928,38937) = 1515739536 / 3
LCM(38928,38937) = 505246512

Least Common Multiple (LCM) of 38928 and 38937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38928 and 38937. First we will calculate the prime factors of 38928 and 38937.

Prime Factorization of 38928

Prime Factorization of 38937

Now multiplying the highest exponent prime factors to calculate the LCM of 38928 and 38937.

LCM(38928,38937) = 2⁴ × 3¹ × 811¹ × 12979¹
LCM(38928,38937) = 505246512