What is the Least Common Multiple of 78314 and 78330?

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 78314 and 78330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78314 and 78330, than apply into the LCM equation.

GCF(78314,78330) = 2
LCM(78314,78330) = ( 78314 × 78330) / 2
LCM(78314,78330) = 6134335620 / 2
LCM(78314,78330) = 3067167810

Least Common Multiple (LCM) of 78314 and 78330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78314 and 78330. First we will calculate the prime factors of 78314 and 78330.

Prime Factorization of 78314

Prime Factorization of 78330

Now multiplying the highest exponent prime factors to calculate the LCM of 78314 and 78330.

LCM(78314,78330) = 2¹ × 39157¹ × 3¹ × 5¹ × 7¹ × 373¹
LCM(78314,78330) = 3067167810