What is the Least Common Multiple of 79314 and 79330?

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 79314 and 79330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79314 and 79330, than apply into the LCM equation.

GCF(79314,79330) = 2
LCM(79314,79330) = ( 79314 × 79330) / 2
LCM(79314,79330) = 6291979620 / 2
LCM(79314,79330) = 3145989810

Least Common Multiple (LCM) of 79314 and 79330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79314 and 79330. First we will calculate the prime factors of 79314 and 79330.

Prime Factorization of 79314

Prime Factorization of 79330

Now multiplying the highest exponent prime factors to calculate the LCM of 79314 and 79330.

LCM(79314,79330) = 2¹ × 3¹ × 13219¹ × 5¹ × 7933¹
LCM(79314,79330) = 3145989810