What is the Least Common Multiple of 78368 and 78378?

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 78368 and 78378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78368 and 78378, than apply into the LCM equation.

GCF(78368,78378) = 2
LCM(78368,78378) = ( 78368 × 78378) / 2
LCM(78368,78378) = 6142327104 / 2
LCM(78368,78378) = 3071163552

Least Common Multiple (LCM) of 78368 and 78378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78368 and 78378. First we will calculate the prime factors of 78368 and 78378.

Prime Factorization of 78368

Prime Factorization of 78378

Now multiplying the highest exponent prime factors to calculate the LCM of 78368 and 78378.

LCM(78368,78378) = 2⁵ × 31¹ × 79¹ × 3¹ × 13063¹
LCM(78368,78378) = 3071163552