What is the Least Common Multiple of 37281 and 37299?

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 37281 and 37299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37281 and 37299, than apply into the LCM equation.

GCF(37281,37299) = 3
LCM(37281,37299) = ( 37281 × 37299) / 3
LCM(37281,37299) = 1390544019 / 3
LCM(37281,37299) = 463514673

Least Common Multiple (LCM) of 37281 and 37299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37281 and 37299. First we will calculate the prime factors of 37281 and 37299.

Prime Factorization of 37281

Prime Factorization of 37299

Now multiplying the highest exponent prime factors to calculate the LCM of 37281 and 37299.

LCM(37281,37299) = 3¹ × 17² × 43¹ × 12433¹
LCM(37281,37299) = 463514673