What is the Least Common Multiple of 37450 and 37454?

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 37450 and 37454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37450 and 37454, than apply into the LCM equation.

GCF(37450,37454) = 2
LCM(37450,37454) = ( 37450 × 37454) / 2
LCM(37450,37454) = 1402652300 / 2
LCM(37450,37454) = 701326150

Least Common Multiple (LCM) of 37450 and 37454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37450 and 37454. First we will calculate the prime factors of 37450 and 37454.

Prime Factorization of 37450

Prime Factorization of 37454

Now multiplying the highest exponent prime factors to calculate the LCM of 37450 and 37454.

LCM(37450,37454) = 2¹ × 5² × 7¹ × 107¹ × 61¹ × 307¹
LCM(37450,37454) = 701326150