What is the Least Common Multiple of 84334 and 84349?

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 84334 and 84349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84334 and 84349, than apply into the LCM equation.

GCF(84334,84349) = 1
LCM(84334,84349) = ( 84334 × 84349) / 1
LCM(84334,84349) = 7113488566 / 1
LCM(84334,84349) = 7113488566

Least Common Multiple (LCM) of 84334 and 84349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84334 and 84349. First we will calculate the prime factors of 84334 and 84349.

Prime Factorization of 84334

Prime Factorization of 84349

Now multiplying the highest exponent prime factors to calculate the LCM of 84334 and 84349.

LCM(84334,84349) = 2¹ × 149¹ × 283¹ × 84349¹
LCM(84334,84349) = 7113488566