What is the Least Common Multiple of 79309 and 79328?

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 79309 and 79328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79309 and 79328, than apply into the LCM equation.

GCF(79309,79328) = 1
LCM(79309,79328) = ( 79309 × 79328) / 1
LCM(79309,79328) = 6291424352 / 1
LCM(79309,79328) = 6291424352

Least Common Multiple (LCM) of 79309 and 79328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79309 and 79328. First we will calculate the prime factors of 79309 and 79328.

Prime Factorization of 79309

Prime Factorization of 79328

Now multiplying the highest exponent prime factors to calculate the LCM of 79309 and 79328.

LCM(79309,79328) = 79309¹ × 2⁵ × 37¹ × 67¹
LCM(79309,79328) = 6291424352