What is the Least Common Multiple of 37395 and 37410?

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 37395 and 37410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37395 and 37410, than apply into the LCM equation.

GCF(37395,37410) = 15
LCM(37395,37410) = ( 37395 × 37410) / 15
LCM(37395,37410) = 1398946950 / 15
LCM(37395,37410) = 93263130

Least Common Multiple (LCM) of 37395 and 37410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37395 and 37410. First we will calculate the prime factors of 37395 and 37410.

Prime Factorization of 37395

Prime Factorization of 37410

Now multiplying the highest exponent prime factors to calculate the LCM of 37395 and 37410.

LCM(37395,37410) = 3³ × 5¹ × 277¹ × 2¹ × 29¹ × 43¹
LCM(37395,37410) = 93263130