What is the Least Common Multiple of 78378 and 78384?

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 78378 and 78384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78378 and 78384, than apply into the LCM equation.

GCF(78378,78384) = 6
LCM(78378,78384) = ( 78378 × 78384) / 6
LCM(78378,78384) = 6143581152 / 6
LCM(78378,78384) = 1023930192

Least Common Multiple (LCM) of 78378 and 78384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78378 and 78384. First we will calculate the prime factors of 78378 and 78384.

Prime Factorization of 78378

Prime Factorization of 78384

Now multiplying the highest exponent prime factors to calculate the LCM of 78378 and 78384.

LCM(78378,78384) = 2⁴ × 3¹ × 13063¹ × 23¹ × 71¹
LCM(78378,78384) = 1023930192