What is the Least Common Multiple of 38752 and 38760?

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 38760 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 38760, than apply into the LCM equation.

GCF(38752,38760) = 8
LCM(38752,38760) = ( 38752 × 38760) / 8
LCM(38752,38760) = 1502027520 / 8
LCM(38752,38760) = 187753440

Least Common Multiple (LCM) of 38752 and 38760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38752 and 38760. First we will calculate the prime factors of 38752 and 38760.

Prime Factorization of 38752

Prime Factorization of 38760

Now multiplying the highest exponent prime factors to calculate the LCM of 38752 and 38760.

LCM(38752,38760) = 2⁵ × 7¹ × 173¹ × 3¹ × 5¹ × 17¹ × 19¹
LCM(38752,38760) = 187753440