What is the Least Common Multiple of 80345 and 80350?

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 80345 and 80350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80345 and 80350, than apply into the LCM equation.

GCF(80345,80350) = 5
LCM(80345,80350) = ( 80345 × 80350) / 5
LCM(80345,80350) = 6455720750 / 5
LCM(80345,80350) = 1291144150

Least Common Multiple (LCM) of 80345 and 80350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80345 and 80350. First we will calculate the prime factors of 80345 and 80350.

Prime Factorization of 80345

Prime Factorization of 80350

Now multiplying the highest exponent prime factors to calculate the LCM of 80345 and 80350.

LCM(80345,80350) = 5² × 16069¹ × 2¹ × 1607¹
LCM(80345,80350) = 1291144150