What is the Least Common Multiple of 84400 and 84415?

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 84400 and 84415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84400 and 84415, than apply into the LCM equation.

GCF(84400,84415) = 5
LCM(84400,84415) = ( 84400 × 84415) / 5
LCM(84400,84415) = 7124626000 / 5
LCM(84400,84415) = 1424925200

Least Common Multiple (LCM) of 84400 and 84415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84400 and 84415. First we will calculate the prime factors of 84400 and 84415.

Prime Factorization of 84400

Prime Factorization of 84415

Now multiplying the highest exponent prime factors to calculate the LCM of 84400 and 84415.

LCM(84400,84415) = 2⁴ × 5² × 211¹ × 16883¹
LCM(84400,84415) = 1424925200