What is the Least Common Multiple of 99200 and 99220?

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 99200 and 99220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99200 and 99220, than apply into the LCM equation.

GCF(99200,99220) = 20
LCM(99200,99220) = ( 99200 × 99220) / 20
LCM(99200,99220) = 9842624000 / 20
LCM(99200,99220) = 492131200

Least Common Multiple (LCM) of 99200 and 99220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99200 and 99220. First we will calculate the prime factors of 99200 and 99220.

Prime Factorization of 99200

Prime Factorization of 99220

Now multiplying the highest exponent prime factors to calculate the LCM of 99200 and 99220.

LCM(99200,99220) = 2⁷ × 5² × 31¹ × 11² × 41¹
LCM(99200,99220) = 492131200