What is the Least Common Multiple of 79480 and 79488?

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 79480 and 79488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79480 and 79488, than apply into the LCM equation.

GCF(79480,79488) = 8
LCM(79480,79488) = ( 79480 × 79488) / 8
LCM(79480,79488) = 6317706240 / 8
LCM(79480,79488) = 789713280

Least Common Multiple (LCM) of 79480 and 79488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79480 and 79488. First we will calculate the prime factors of 79480 and 79488.

Prime Factorization of 79480

Prime Factorization of 79488

Now multiplying the highest exponent prime factors to calculate the LCM of 79480 and 79488.

LCM(79480,79488) = 2⁷ × 5¹ × 1987¹ × 3³ × 23¹
LCM(79480,79488) = 789713280