What is the Least Common Multiple of 79362 and 79378?

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 79362 and 79378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79362 and 79378, than apply into the LCM equation.

GCF(79362,79378) = 2
LCM(79362,79378) = ( 79362 × 79378) / 2
LCM(79362,79378) = 6299596836 / 2
LCM(79362,79378) = 3149798418

Least Common Multiple (LCM) of 79362 and 79378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79362 and 79378. First we will calculate the prime factors of 79362 and 79378.

Prime Factorization of 79362

Prime Factorization of 79378

Now multiplying the highest exponent prime factors to calculate the LCM of 79362 and 79378.

LCM(79362,79378) = 2¹ × 3² × 4409¹ × 13¹ × 43¹ × 71¹
LCM(79362,79378) = 3149798418