What is the Least Common Multiple of 99400 and 99417?

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 99400 and 99417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99400 and 99417, than apply into the LCM equation.

GCF(99400,99417) = 1
LCM(99400,99417) = ( 99400 × 99417) / 1
LCM(99400,99417) = 9882049800 / 1
LCM(99400,99417) = 9882049800

Least Common Multiple (LCM) of 99400 and 99417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99400 and 99417. First we will calculate the prime factors of 99400 and 99417.

Prime Factorization of 99400

Prime Factorization of 99417

Now multiplying the highest exponent prime factors to calculate the LCM of 99400 and 99417.

LCM(99400,99417) = 2³ × 5² × 7¹ × 71¹ × 3¹ × 31¹ × 1069¹
LCM(99400,99417) = 9882049800