What is the Least Common Multiple of 79584 and 79590?

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 79584 and 79590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79584 and 79590, than apply into the LCM equation.

GCF(79584,79590) = 6
LCM(79584,79590) = ( 79584 × 79590) / 6
LCM(79584,79590) = 6334090560 / 6
LCM(79584,79590) = 1055681760

Least Common Multiple (LCM) of 79584 and 79590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79584 and 79590. First we will calculate the prime factors of 79584 and 79590.

Prime Factorization of 79584

Prime Factorization of 79590

Now multiplying the highest exponent prime factors to calculate the LCM of 79584 and 79590.

LCM(79584,79590) = 2⁵ × 3¹ × 829¹ × 5¹ × 7¹ × 379¹
LCM(79584,79590) = 1055681760