What is the Least Common Multiple of 80360 and 80370?

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 80360 and 80370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80360 and 80370, than apply into the LCM equation.

GCF(80360,80370) = 10
LCM(80360,80370) = ( 80360 × 80370) / 10
LCM(80360,80370) = 6458533200 / 10
LCM(80360,80370) = 645853320

Least Common Multiple (LCM) of 80360 and 80370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80360 and 80370. First we will calculate the prime factors of 80360 and 80370.

Prime Factorization of 80360

Prime Factorization of 80370

Now multiplying the highest exponent prime factors to calculate the LCM of 80360 and 80370.

LCM(80360,80370) = 2³ × 5¹ × 7² × 41¹ × 3² × 19¹ × 47¹
LCM(80360,80370) = 645853320