What is the Least Common Multiple of 37872 and 37885?

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 37872 and 37885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37872 and 37885, than apply into the LCM equation.

GCF(37872,37885) = 1
LCM(37872,37885) = ( 37872 × 37885) / 1
LCM(37872,37885) = 1434780720 / 1
LCM(37872,37885) = 1434780720

Least Common Multiple (LCM) of 37872 and 37885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37872 and 37885. First we will calculate the prime factors of 37872 and 37885.

Prime Factorization of 37872

Prime Factorization of 37885

Now multiplying the highest exponent prime factors to calculate the LCM of 37872 and 37885.

LCM(37872,37885) = 2⁴ × 3² × 263¹ × 5¹ × 7577¹
LCM(37872,37885) = 1434780720