What is the Least Common Multiple of 84338 and 84354?

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 84338 and 84354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84338 and 84354, than apply into the LCM equation.

GCF(84338,84354) = 2
LCM(84338,84354) = ( 84338 × 84354) / 2
LCM(84338,84354) = 7114247652 / 2
LCM(84338,84354) = 3557123826

Least Common Multiple (LCM) of 84338 and 84354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84338 and 84354. First we will calculate the prime factors of 84338 and 84354.

Prime Factorization of 84338

Prime Factorization of 84354

Now multiplying the highest exponent prime factors to calculate the LCM of 84338 and 84354.

LCM(84338,84354) = 2¹ × 42169¹ × 3¹ × 17¹ × 827¹
LCM(84338,84354) = 3557123826