What is the Least Common Multiple of 37928 and 37946?

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 37928 and 37946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37928 and 37946, than apply into the LCM equation.

GCF(37928,37946) = 2
LCM(37928,37946) = ( 37928 × 37946) / 2
LCM(37928,37946) = 1439215888 / 2
LCM(37928,37946) = 719607944

Least Common Multiple (LCM) of 37928 and 37946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37928 and 37946. First we will calculate the prime factors of 37928 and 37946.

Prime Factorization of 37928

Prime Factorization of 37946

Now multiplying the highest exponent prime factors to calculate the LCM of 37928 and 37946.

LCM(37928,37946) = 2³ × 11¹ × 431¹ × 18973¹
LCM(37928,37946) = 719607944