What is the Least Common Multiple of 80334 and 80351?

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 80334 and 80351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80334 and 80351, than apply into the LCM equation.

GCF(80334,80351) = 1
LCM(80334,80351) = ( 80334 × 80351) / 1
LCM(80334,80351) = 6454917234 / 1
LCM(80334,80351) = 6454917234

Least Common Multiple (LCM) of 80334 and 80351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80334 and 80351. First we will calculate the prime factors of 80334 and 80351.

Prime Factorization of 80334

Prime Factorization of 80351

Now multiplying the highest exponent prime factors to calculate the LCM of 80334 and 80351.

LCM(80334,80351) = 2¹ × 3² × 4463¹ × 19¹ × 4229¹
LCM(80334,80351) = 6454917234