What is the Least Common Multiple of 80342 and 80356?

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 80342 and 80356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80342 and 80356, than apply into the LCM equation.

GCF(80342,80356) = 2
LCM(80342,80356) = ( 80342 × 80356) / 2
LCM(80342,80356) = 6455961752 / 2
LCM(80342,80356) = 3227980876

Least Common Multiple (LCM) of 80342 and 80356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80342 and 80356. First we will calculate the prime factors of 80342 and 80356.

Prime Factorization of 80342

Prime Factorization of 80356

Now multiplying the highest exponent prime factors to calculate the LCM of 80342 and 80356.

LCM(80342,80356) = 2² × 17² × 139¹ × 20089¹
LCM(80342,80356) = 3227980876