What is the Least Common Multiple of 37860 and 37875?

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 37875 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 37875, than apply into the LCM equation.

GCF(37860,37875) = 15
LCM(37860,37875) = ( 37860 × 37875) / 15
LCM(37860,37875) = 1433947500 / 15
LCM(37860,37875) = 95596500

Least Common Multiple (LCM) of 37860 and 37875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37860 and 37875. First we will calculate the prime factors of 37860 and 37875.

Prime Factorization of 37860

Prime Factorization of 37875

Now multiplying the highest exponent prime factors to calculate the LCM of 37860 and 37875.

LCM(37860,37875) = 2² × 3¹ × 5³ × 631¹ × 101¹
LCM(37860,37875) = 95596500