What is the Least Common Multiple of 36378 and 36398?

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 36378 and 36398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36378 and 36398, than apply into the LCM equation.

GCF(36378,36398) = 2
LCM(36378,36398) = ( 36378 × 36398) / 2
LCM(36378,36398) = 1324086444 / 2
LCM(36378,36398) = 662043222

Least Common Multiple (LCM) of 36378 and 36398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36378 and 36398. First we will calculate the prime factors of 36378 and 36398.

Prime Factorization of 36378

Prime Factorization of 36398

Now multiplying the highest exponent prime factors to calculate the LCM of 36378 and 36398.

LCM(36378,36398) = 2¹ × 3² × 43¹ × 47¹ × 18199¹
LCM(36378,36398) = 662043222