What is the Least Common Multiple of 37474 and 37493?

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 37474 and 37493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37474 and 37493, than apply into the LCM equation.

GCF(37474,37493) = 1
LCM(37474,37493) = ( 37474 × 37493) / 1
LCM(37474,37493) = 1405012682 / 1
LCM(37474,37493) = 1405012682

Least Common Multiple (LCM) of 37474 and 37493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37474 and 37493. First we will calculate the prime factors of 37474 and 37493.

Prime Factorization of 37474

Prime Factorization of 37493

Now multiplying the highest exponent prime factors to calculate the LCM of 37474 and 37493.

LCM(37474,37493) = 2¹ × 41¹ × 457¹ × 37493¹
LCM(37474,37493) = 1405012682