What is the Least Common Multiple of 96378 and 96390?

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 96378 and 96390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96378 and 96390, than apply into the LCM equation.

GCF(96378,96390) = 6
LCM(96378,96390) = ( 96378 × 96390) / 6
LCM(96378,96390) = 9289875420 / 6
LCM(96378,96390) = 1548312570

Least Common Multiple (LCM) of 96378 and 96390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96378 and 96390. First we will calculate the prime factors of 96378 and 96390.

Prime Factorization of 96378

Prime Factorization of 96390

Now multiplying the highest exponent prime factors to calculate the LCM of 96378 and 96390.

LCM(96378,96390) = 2¹ × 3⁴ × 16063¹ × 5¹ × 7¹ × 17¹
LCM(96378,96390) = 1548312570