What is the Least Common Multiple of 80334 and 80349?

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 80349 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 80349, than apply into the LCM equation.

GCF(80334,80349) = 3
LCM(80334,80349) = ( 80334 × 80349) / 3
LCM(80334,80349) = 6454756566 / 3
LCM(80334,80349) = 2151585522

Least Common Multiple (LCM) of 80334 and 80349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80334 and 80349. First we will calculate the prime factors of 80334 and 80349.

Prime Factorization of 80334

Prime Factorization of 80349

Now multiplying the highest exponent prime factors to calculate the LCM of 80334 and 80349.

LCM(80334,80349) = 2¹ × 3² × 4463¹ × 26783¹
LCM(80334,80349) = 2151585522