What is the Least Common Multiple of 37887 and 37902?

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 37887 and 37902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37887 and 37902, than apply into the LCM equation.

GCF(37887,37902) = 3
LCM(37887,37902) = ( 37887 × 37902) / 3
LCM(37887,37902) = 1435993074 / 3
LCM(37887,37902) = 478664358

Least Common Multiple (LCM) of 37887 and 37902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37887 and 37902. First we will calculate the prime factors of 37887 and 37902.

Prime Factorization of 37887

Prime Factorization of 37902

Now multiplying the highest exponent prime factors to calculate the LCM of 37887 and 37902.

LCM(37887,37902) = 3¹ × 73¹ × 173¹ × 2¹ × 6317¹
LCM(37887,37902) = 478664358