What is the Least Common Multiple of 84320 and 84340?

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 84320 and 84340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84320 and 84340, than apply into the LCM equation.

GCF(84320,84340) = 20
LCM(84320,84340) = ( 84320 × 84340) / 20
LCM(84320,84340) = 7111548800 / 20
LCM(84320,84340) = 355577440

Least Common Multiple (LCM) of 84320 and 84340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84320 and 84340. First we will calculate the prime factors of 84320 and 84340.

Prime Factorization of 84320

Prime Factorization of 84340

Now multiplying the highest exponent prime factors to calculate the LCM of 84320 and 84340.

LCM(84320,84340) = 2⁵ × 5¹ × 17¹ × 31¹ × 4217¹
LCM(84320,84340) = 355577440