What is the Least Common Multiple of 36378 and 36382?

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 36382 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 36382, than apply into the LCM equation.

GCF(36378,36382) = 2
LCM(36378,36382) = ( 36378 × 36382) / 2
LCM(36378,36382) = 1323504396 / 2
LCM(36378,36382) = 661752198

Least Common Multiple (LCM) of 36378 and 36382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36378 and 36382. First we will calculate the prime factors of 36378 and 36382.

Prime Factorization of 36378

Prime Factorization of 36382

Now multiplying the highest exponent prime factors to calculate the LCM of 36378 and 36382.

LCM(36378,36382) = 2¹ × 3² × 43¹ × 47¹ × 18191¹
LCM(36378,36382) = 661752198