What is the Least Common Multiple of 80314 and 80334?

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 80314 and 80334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80314 and 80334, than apply into the LCM equation.

GCF(80314,80334) = 2
LCM(80314,80334) = ( 80314 × 80334) / 2
LCM(80314,80334) = 6451944876 / 2
LCM(80314,80334) = 3225972438

Least Common Multiple (LCM) of 80314 and 80334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80314 and 80334. First we will calculate the prime factors of 80314 and 80334.

Prime Factorization of 80314

Prime Factorization of 80334

Now multiplying the highest exponent prime factors to calculate the LCM of 80314 and 80334.

LCM(80314,80334) = 2¹ × 13¹ × 3089¹ × 3² × 4463¹
LCM(80314,80334) = 3225972438