What is the Least Common Multiple of 38744 and 38752?

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 38744 and 38752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38744 and 38752, than apply into the LCM equation.

GCF(38744,38752) = 8
LCM(38744,38752) = ( 38744 × 38752) / 8
LCM(38744,38752) = 1501407488 / 8
LCM(38744,38752) = 187675936

Least Common Multiple (LCM) of 38744 and 38752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38744 and 38752. First we will calculate the prime factors of 38744 and 38752.

Prime Factorization of 38744

Prime Factorization of 38752

Now multiplying the highest exponent prime factors to calculate the LCM of 38744 and 38752.

LCM(38744,38752) = 2⁵ × 29¹ × 167¹ × 7¹ × 173¹
LCM(38744,38752) = 187675936