What is the Least Common Multiple of 37182 and 37191?

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 37182 and 37191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37182 and 37191, than apply into the LCM equation.

GCF(37182,37191) = 3
LCM(37182,37191) = ( 37182 × 37191) / 3
LCM(37182,37191) = 1382835762 / 3
LCM(37182,37191) = 460945254

Least Common Multiple (LCM) of 37182 and 37191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37182 and 37191. First we will calculate the prime factors of 37182 and 37191.

Prime Factorization of 37182

Prime Factorization of 37191

Now multiplying the highest exponent prime factors to calculate the LCM of 37182 and 37191.

LCM(37182,37191) = 2¹ × 3¹ × 6197¹ × 7² × 11¹ × 23¹
LCM(37182,37191) = 460945254