What is the Least Common Multiple of 37860 and 37871?

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 37860 and 37871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37860 and 37871, than apply into the LCM equation.

GCF(37860,37871) = 1
LCM(37860,37871) = ( 37860 × 37871) / 1
LCM(37860,37871) = 1433796060 / 1
LCM(37860,37871) = 1433796060

Least Common Multiple (LCM) of 37860 and 37871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37860 and 37871. First we will calculate the prime factors of 37860 and 37871.

Prime Factorization of 37860

Prime Factorization of 37871

Now multiplying the highest exponent prime factors to calculate the LCM of 37860 and 37871.

LCM(37860,37871) = 2² × 3¹ × 5¹ × 631¹ × 37871¹
LCM(37860,37871) = 1433796060