What is the Least Common Multiple of 36279 and 36297?

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 36279 and 36297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36279 and 36297, than apply into the LCM equation.

GCF(36279,36297) = 9
LCM(36279,36297) = ( 36279 × 36297) / 9
LCM(36279,36297) = 1316818863 / 9
LCM(36279,36297) = 146313207

Least Common Multiple (LCM) of 36279 and 36297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36279 and 36297. First we will calculate the prime factors of 36279 and 36297.

Prime Factorization of 36279

Prime Factorization of 36297

Now multiplying the highest exponent prime factors to calculate the LCM of 36279 and 36297.

LCM(36279,36297) = 3² × 29¹ × 139¹ × 37¹ × 109¹
LCM(36279,36297) = 146313207