What is the Least Common Multiple of 37470 and 37474?

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 37470 and 37474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37470 and 37474, than apply into the LCM equation.

GCF(37470,37474) = 2
LCM(37470,37474) = ( 37470 × 37474) / 2
LCM(37470,37474) = 1404150780 / 2
LCM(37470,37474) = 702075390

Least Common Multiple (LCM) of 37470 and 37474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37470 and 37474. First we will calculate the prime factors of 37470 and 37474.

Prime Factorization of 37470

Prime Factorization of 37474

Now multiplying the highest exponent prime factors to calculate the LCM of 37470 and 37474.

LCM(37470,37474) = 2¹ × 3¹ × 5¹ × 1249¹ × 41¹ × 457¹
LCM(37470,37474) = 702075390