What is the Least Common Multiple of 80320 and 80325?

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 80320 and 80325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80320 and 80325, than apply into the LCM equation.

GCF(80320,80325) = 5
LCM(80320,80325) = ( 80320 × 80325) / 5
LCM(80320,80325) = 6451704000 / 5
LCM(80320,80325) = 1290340800

Least Common Multiple (LCM) of 80320 and 80325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80320 and 80325. First we will calculate the prime factors of 80320 and 80325.

Prime Factorization of 80320

Prime Factorization of 80325

Now multiplying the highest exponent prime factors to calculate the LCM of 80320 and 80325.

LCM(80320,80325) = 2⁶ × 5² × 251¹ × 3³ × 7¹ × 17¹
LCM(80320,80325) = 1290340800