What is the Least Common Multiple of 84342 and 84351?

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 84342 and 84351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84342 and 84351, than apply into the LCM equation.

GCF(84342,84351) = 3
LCM(84342,84351) = ( 84342 × 84351) / 3
LCM(84342,84351) = 7114332042 / 3
LCM(84342,84351) = 2371444014

Least Common Multiple (LCM) of 84342 and 84351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84342 and 84351. First we will calculate the prime factors of 84342 and 84351.

Prime Factorization of 84342

Prime Factorization of 84351

Now multiplying the highest exponent prime factors to calculate the LCM of 84342 and 84351.

LCM(84342,84351) = 2¹ × 3¹ × 14057¹ × 31¹ × 907¹
LCM(84342,84351) = 2371444014