What is the Least Common Multiple of 84340 and 84353?

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 84340 and 84353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84340 and 84353, than apply into the LCM equation.

GCF(84340,84353) = 1
LCM(84340,84353) = ( 84340 × 84353) / 1
LCM(84340,84353) = 7114332020 / 1
LCM(84340,84353) = 7114332020

Least Common Multiple (LCM) of 84340 and 84353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84340 and 84353. First we will calculate the prime factors of 84340 and 84353.

Prime Factorization of 84340

Prime Factorization of 84353

Now multiplying the highest exponent prime factors to calculate the LCM of 84340 and 84353.

LCM(84340,84353) = 2² × 5¹ × 4217¹ × 67¹ × 1259¹
LCM(84340,84353) = 7114332020