What is the Least Common Multiple of 38752 and 38766?

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 38766 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 38766, than apply into the LCM equation.

GCF(38752,38766) = 14
LCM(38752,38766) = ( 38752 × 38766) / 14
LCM(38752,38766) = 1502260032 / 14
LCM(38752,38766) = 107304288

Least Common Multiple (LCM) of 38752 and 38766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38752 and 38766. First we will calculate the prime factors of 38752 and 38766.

Prime Factorization of 38752

Prime Factorization of 38766

Now multiplying the highest exponent prime factors to calculate the LCM of 38752 and 38766.

LCM(38752,38766) = 2⁵ × 7¹ × 173¹ × 3¹ × 13¹ × 71¹
LCM(38752,38766) = 107304288