What is the Least Common Multiple of 36321 and 36332?

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 36321 and 36332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36321 and 36332, than apply into the LCM equation.

GCF(36321,36332) = 1
LCM(36321,36332) = ( 36321 × 36332) / 1
LCM(36321,36332) = 1319614572 / 1
LCM(36321,36332) = 1319614572

Least Common Multiple (LCM) of 36321 and 36332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36321 and 36332. First we will calculate the prime factors of 36321 and 36332.

Prime Factorization of 36321

Prime Factorization of 36332

Now multiplying the highest exponent prime factors to calculate the LCM of 36321 and 36332.

LCM(36321,36332) = 3¹ × 12107¹ × 2² × 31¹ × 293¹
LCM(36321,36332) = 1319614572