What is the Least Common Multiple of 47937 and 47946?

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 47937 and 47946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47937 and 47946, than apply into the LCM equation.

GCF(47937,47946) = 3
LCM(47937,47946) = ( 47937 × 47946) / 3
LCM(47937,47946) = 2298387402 / 3
LCM(47937,47946) = 766129134

Least Common Multiple (LCM) of 47937 and 47946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47937 and 47946. First we will calculate the prime factors of 47937 and 47946.

Prime Factorization of 47937

Prime Factorization of 47946

Now multiplying the highest exponent prime factors to calculate the LCM of 47937 and 47946.

LCM(47937,47946) = 3¹ × 19¹ × 29² × 2¹ × 61¹ × 131¹
LCM(47937,47946) = 766129134