What is the Least Common Multiple of 80352 and 80360?

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 80352 and 80360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80352 and 80360, than apply into the LCM equation.

GCF(80352,80360) = 8
LCM(80352,80360) = ( 80352 × 80360) / 8
LCM(80352,80360) = 6457086720 / 8
LCM(80352,80360) = 807135840

Least Common Multiple (LCM) of 80352 and 80360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80352 and 80360. First we will calculate the prime factors of 80352 and 80360.

Prime Factorization of 80352

Prime Factorization of 80360

Now multiplying the highest exponent prime factors to calculate the LCM of 80352 and 80360.

LCM(80352,80360) = 2⁵ × 3⁴ × 31¹ × 5¹ × 7² × 41¹
LCM(80352,80360) = 807135840