What is the Least Common Multiple of 80460 and 80479?

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 80460 and 80479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80460 and 80479, than apply into the LCM equation.

GCF(80460,80479) = 1
LCM(80460,80479) = ( 80460 × 80479) / 1
LCM(80460,80479) = 6475340340 / 1
LCM(80460,80479) = 6475340340

Least Common Multiple (LCM) of 80460 and 80479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80460 and 80479. First we will calculate the prime factors of 80460 and 80479.

Prime Factorization of 80460

Prime Factorization of 80479

Now multiplying the highest exponent prime factors to calculate the LCM of 80460 and 80479.

LCM(80460,80479) = 2² × 3³ × 5¹ × 149¹ × 7¹ × 11497¹
LCM(80460,80479) = 6475340340