What is the Least Common Multiple of 80325 and 80342?

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 80325 and 80342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80325 and 80342, than apply into the LCM equation.

GCF(80325,80342) = 17
LCM(80325,80342) = ( 80325 × 80342) / 17
LCM(80325,80342) = 6453471150 / 17
LCM(80325,80342) = 379615950

Least Common Multiple (LCM) of 80325 and 80342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80325 and 80342. First we will calculate the prime factors of 80325 and 80342.

Prime Factorization of 80325

Prime Factorization of 80342

Now multiplying the highest exponent prime factors to calculate the LCM of 80325 and 80342.

LCM(80325,80342) = 3³ × 5² × 7¹ × 17² × 2¹ × 139¹
LCM(80325,80342) = 379615950