What is the Least Common Multiple of 36321 and 36334?

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 36334 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 36334, than apply into the LCM equation.

GCF(36321,36334) = 1
LCM(36321,36334) = ( 36321 × 36334) / 1
LCM(36321,36334) = 1319687214 / 1
LCM(36321,36334) = 1319687214

Least Common Multiple (LCM) of 36321 and 36334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36321 and 36334. First we will calculate the prime factors of 36321 and 36334.

Prime Factorization of 36321

Prime Factorization of 36334

Now multiplying the highest exponent prime factors to calculate the LCM of 36321 and 36334.

LCM(36321,36334) = 3¹ × 12107¹ × 2¹ × 37¹ × 491¹
LCM(36321,36334) = 1319687214