What is the Least Common Multiple of 84342 and 84362?

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 84362 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 84362, than apply into the LCM equation.

GCF(84342,84362) = 2
LCM(84342,84362) = ( 84342 × 84362) / 2
LCM(84342,84362) = 7115259804 / 2
LCM(84342,84362) = 3557629902

Least Common Multiple (LCM) of 84342 and 84362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84342 and 84362. First we will calculate the prime factors of 84342 and 84362.

Prime Factorization of 84342

Prime Factorization of 84362

Now multiplying the highest exponent prime factors to calculate the LCM of 84342 and 84362.

LCM(84342,84362) = 2¹ × 3¹ × 14057¹ × 42181¹
LCM(84342,84362) = 3557629902