What is the Least Common Multiple of 38752 and 38759?

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 38752 and 38759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38752 and 38759, than apply into the LCM equation.

GCF(38752,38759) = 7
LCM(38752,38759) = ( 38752 × 38759) / 7
LCM(38752,38759) = 1501988768 / 7
LCM(38752,38759) = 214569824

Least Common Multiple (LCM) of 38752 and 38759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38752 and 38759. First we will calculate the prime factors of 38752 and 38759.

Prime Factorization of 38752

Prime Factorization of 38759

Now multiplying the highest exponent prime factors to calculate the LCM of 38752 and 38759.

LCM(38752,38759) = 2⁵ × 7³ × 173¹ × 113¹
LCM(38752,38759) = 214569824