What is the Least Common Multiple of 37180 and 37185?

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 37180 and 37185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37180 and 37185, than apply into the LCM equation.

GCF(37180,37185) = 5
LCM(37180,37185) = ( 37180 × 37185) / 5
LCM(37180,37185) = 1382538300 / 5
LCM(37180,37185) = 276507660

Least Common Multiple (LCM) of 37180 and 37185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37180 and 37185. First we will calculate the prime factors of 37180 and 37185.

Prime Factorization of 37180

Prime Factorization of 37185

Now multiplying the highest exponent prime factors to calculate the LCM of 37180 and 37185.

LCM(37180,37185) = 2² × 5¹ × 11¹ × 13² × 3¹ × 37¹ × 67¹
LCM(37180,37185) = 276507660