What is the Least Common Multiple of 99000 and 99004?

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 99000 and 99004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99000 and 99004, than apply into the LCM equation.

GCF(99000,99004) = 4
LCM(99000,99004) = ( 99000 × 99004) / 4
LCM(99000,99004) = 9801396000 / 4
LCM(99000,99004) = 2450349000

Least Common Multiple (LCM) of 99000 and 99004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99000 and 99004. First we will calculate the prime factors of 99000 and 99004.

Prime Factorization of 99000

Prime Factorization of 99004

Now multiplying the highest exponent prime factors to calculate the LCM of 99000 and 99004.

LCM(99000,99004) = 2³ × 3² × 5³ × 11¹ × 53¹ × 467¹
LCM(99000,99004) = 2450349000