What is the Least Common Multiple of 84340 and 84358?

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 84358 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 84358, than apply into the LCM equation.

GCF(84340,84358) = 2
LCM(84340,84358) = ( 84340 × 84358) / 2
LCM(84340,84358) = 7114753720 / 2
LCM(84340,84358) = 3557376860

Least Common Multiple (LCM) of 84340 and 84358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84340 and 84358. First we will calculate the prime factors of 84340 and 84358.

Prime Factorization of 84340

Prime Factorization of 84358

Now multiplying the highest exponent prime factors to calculate the LCM of 84340 and 84358.

LCM(84340,84358) = 2² × 5¹ × 4217¹ × 42179¹
LCM(84340,84358) = 3557376860