What is the Least Common Multiple of 37191 and 37200?

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 37191 and 37200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37191 and 37200, than apply into the LCM equation.

GCF(37191,37200) = 3
LCM(37191,37200) = ( 37191 × 37200) / 3
LCM(37191,37200) = 1383505200 / 3
LCM(37191,37200) = 461168400

Least Common Multiple (LCM) of 37191 and 37200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37191 and 37200. First we will calculate the prime factors of 37191 and 37200.

Prime Factorization of 37191

Prime Factorization of 37200

Now multiplying the highest exponent prime factors to calculate the LCM of 37191 and 37200.

LCM(37191,37200) = 3¹ × 7² × 11¹ × 23¹ × 2⁴ × 5² × 31¹
LCM(37191,37200) = 461168400