What is the Least Common Multiple of 99380 and 99400?

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 99380 and 99400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99380 and 99400, than apply into the LCM equation.

GCF(99380,99400) = 20
LCM(99380,99400) = ( 99380 × 99400) / 20
LCM(99380,99400) = 9878372000 / 20
LCM(99380,99400) = 493918600

Least Common Multiple (LCM) of 99380 and 99400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99380 and 99400. First we will calculate the prime factors of 99380 and 99400.

Prime Factorization of 99380

Prime Factorization of 99400

Now multiplying the highest exponent prime factors to calculate the LCM of 99380 and 99400.

LCM(99380,99400) = 2³ × 5² × 4969¹ × 7¹ × 71¹
LCM(99380,99400) = 493918600