What is the Least Common Multiple of 83420 and 83426?

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 83420 and 83426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83420 and 83426, than apply into the LCM equation.

GCF(83420,83426) = 2
LCM(83420,83426) = ( 83420 × 83426) / 2
LCM(83420,83426) = 6959396920 / 2
LCM(83420,83426) = 3479698460

Least Common Multiple (LCM) of 83420 and 83426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83420 and 83426. First we will calculate the prime factors of 83420 and 83426.

Prime Factorization of 83420

Prime Factorization of 83426

Now multiplying the highest exponent prime factors to calculate the LCM of 83420 and 83426.

LCM(83420,83426) = 2² × 5¹ × 43¹ × 97¹ × 7¹ × 59¹ × 101¹
LCM(83420,83426) = 3479698460