What is the Least Common Multiple of 79304 and 79324?

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 79304 and 79324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79304 and 79324, than apply into the LCM equation.

GCF(79304,79324) = 4
LCM(79304,79324) = ( 79304 × 79324) / 4
LCM(79304,79324) = 6290710496 / 4
LCM(79304,79324) = 1572677624

Least Common Multiple (LCM) of 79304 and 79324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79304 and 79324. First we will calculate the prime factors of 79304 and 79324.

Prime Factorization of 79304

Prime Factorization of 79324

Now multiplying the highest exponent prime factors to calculate the LCM of 79304 and 79324.

LCM(79304,79324) = 2³ × 23¹ × 431¹ × 7¹ × 2833¹
LCM(79304,79324) = 1572677624