What is the Least Common Multiple of 36336 and 36354?

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 36354 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 36354, than apply into the LCM equation.

GCF(36336,36354) = 6
LCM(36336,36354) = ( 36336 × 36354) / 6
LCM(36336,36354) = 1320958944 / 6
LCM(36336,36354) = 220159824

Least Common Multiple (LCM) of 36336 and 36354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36336 and 36354. First we will calculate the prime factors of 36336 and 36354.

Prime Factorization of 36336

Prime Factorization of 36354

Now multiplying the highest exponent prime factors to calculate the LCM of 36336 and 36354.

LCM(36336,36354) = 2⁴ × 3¹ × 757¹ × 73¹ × 83¹
LCM(36336,36354) = 220159824