What is the Least Common Multiple of 37189 and 37194?

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 37189 and 37194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37189 and 37194, than apply into the LCM equation.

GCF(37189,37194) = 1
LCM(37189,37194) = ( 37189 × 37194) / 1
LCM(37189,37194) = 1383207666 / 1
LCM(37189,37194) = 1383207666

Least Common Multiple (LCM) of 37189 and 37194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37189 and 37194. First we will calculate the prime factors of 37189 and 37194.

Prime Factorization of 37189

Prime Factorization of 37194

Now multiplying the highest exponent prime factors to calculate the LCM of 37189 and 37194.

LCM(37189,37194) = 37189¹ × 2¹ × 3¹ × 6199¹
LCM(37189,37194) = 1383207666