What is the Least Common Multiple of 79578 and 79584?

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 79578 and 79584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79578 and 79584, than apply into the LCM equation.

GCF(79578,79584) = 6
LCM(79578,79584) = ( 79578 × 79584) / 6
LCM(79578,79584) = 6333135552 / 6
LCM(79578,79584) = 1055522592

Least Common Multiple (LCM) of 79578 and 79584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79578 and 79584. First we will calculate the prime factors of 79578 and 79584.

Prime Factorization of 79578

Prime Factorization of 79584

Now multiplying the highest exponent prime factors to calculate the LCM of 79578 and 79584.

LCM(79578,79584) = 2⁵ × 3² × 4421¹ × 829¹
LCM(79578,79584) = 1055522592