What is the Least Common Multiple of 37314 and 37329?

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 37314 and 37329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37314 and 37329, than apply into the LCM equation.

GCF(37314,37329) = 3
LCM(37314,37329) = ( 37314 × 37329) / 3
LCM(37314,37329) = 1392894306 / 3
LCM(37314,37329) = 464298102

Least Common Multiple (LCM) of 37314 and 37329 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37314 and 37329. First we will calculate the prime factors of 37314 and 37329.

Prime Factorization of 37314

Prime Factorization of 37329

Now multiplying the highest exponent prime factors to calculate the LCM of 37314 and 37329.

LCM(37314,37329) = 2¹ × 3³ × 691¹ × 23¹ × 541¹
LCM(37314,37329) = 464298102