What is the Least Common Multiple of 37914 and 37931?

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 37914 and 37931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37914 and 37931, than apply into the LCM equation.

GCF(37914,37931) = 1
LCM(37914,37931) = ( 37914 × 37931) / 1
LCM(37914,37931) = 1438115934 / 1
LCM(37914,37931) = 1438115934

Least Common Multiple (LCM) of 37914 and 37931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37914 and 37931. First we will calculate the prime factors of 37914 and 37931.

Prime Factorization of 37914

Prime Factorization of 37931

Now multiplying the highest exponent prime factors to calculate the LCM of 37914 and 37931.

LCM(37914,37931) = 2¹ × 3¹ × 71¹ × 89¹ × 83¹ × 457¹
LCM(37914,37931) = 1438115934