What is the Least Common Multiple of 36369 and 36378?

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 36369 and 36378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36369 and 36378, than apply into the LCM equation.

GCF(36369,36378) = 9
LCM(36369,36378) = ( 36369 × 36378) / 9
LCM(36369,36378) = 1323031482 / 9
LCM(36369,36378) = 147003498

Least Common Multiple (LCM) of 36369 and 36378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36369 and 36378. First we will calculate the prime factors of 36369 and 36378.

Prime Factorization of 36369

Prime Factorization of 36378

Now multiplying the highest exponent prime factors to calculate the LCM of 36369 and 36378.

LCM(36369,36378) = 3⁴ × 449¹ × 2¹ × 43¹ × 47¹
LCM(36369,36378) = 147003498