What is the Least Common Multiple of 84400 and 84413?

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 84413 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 84413, than apply into the LCM equation.

GCF(84400,84413) = 1
LCM(84400,84413) = ( 84400 × 84413) / 1
LCM(84400,84413) = 7124457200 / 1
LCM(84400,84413) = 7124457200

Least Common Multiple (LCM) of 84400 and 84413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84400 and 84413. First we will calculate the prime factors of 84400 and 84413.

Prime Factorization of 84400

Prime Factorization of 84413

Now multiplying the highest exponent prime factors to calculate the LCM of 84400 and 84413.

LCM(84400,84413) = 2⁴ × 5² × 211¹ × 7¹ × 31¹ × 389¹
LCM(84400,84413) = 7124457200