What is the Least Common Multiple of 36336 and 36351?

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 36336 and 36351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36336 and 36351, than apply into the LCM equation.

GCF(36336,36351) = 3
LCM(36336,36351) = ( 36336 × 36351) / 3
LCM(36336,36351) = 1320849936 / 3
LCM(36336,36351) = 440283312

Least Common Multiple (LCM) of 36336 and 36351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36336 and 36351. First we will calculate the prime factors of 36336 and 36351.

Prime Factorization of 36336

Prime Factorization of 36351

Now multiplying the highest exponent prime factors to calculate the LCM of 36336 and 36351.

LCM(36336,36351) = 2⁴ × 3² × 757¹ × 7¹ × 577¹
LCM(36336,36351) = 440283312