What is the Least Common Multiple of 37911 and 37920?

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 37911 and 37920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37911 and 37920, than apply into the LCM equation.

GCF(37911,37920) = 3
LCM(37911,37920) = ( 37911 × 37920) / 3
LCM(37911,37920) = 1437585120 / 3
LCM(37911,37920) = 479195040

Least Common Multiple (LCM) of 37911 and 37920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37911 and 37920. First we will calculate the prime factors of 37911 and 37920.

Prime Factorization of 37911

Prime Factorization of 37920

Now multiplying the highest exponent prime factors to calculate the LCM of 37911 and 37920.

LCM(37911,37920) = 3¹ × 12637¹ × 2⁵ × 5¹ × 79¹
LCM(37911,37920) = 479195040