What is the Least Common Multiple of 81360 and 81378?

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 81360 and 81378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81360 and 81378, than apply into the LCM equation.

GCF(81360,81378) = 18
LCM(81360,81378) = ( 81360 × 81378) / 18
LCM(81360,81378) = 6620914080 / 18
LCM(81360,81378) = 367828560

Least Common Multiple (LCM) of 81360 and 81378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81360 and 81378. First we will calculate the prime factors of 81360 and 81378.

Prime Factorization of 81360

Prime Factorization of 81378

Now multiplying the highest exponent prime factors to calculate the LCM of 81360 and 81378.

LCM(81360,81378) = 2⁴ × 3³ × 5¹ × 113¹ × 11¹ × 137¹
LCM(81360,81378) = 367828560