What is the Least Common Multiple of 98991 and 99000?

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 98991 and 99000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98991 and 99000, than apply into the LCM equation.

GCF(98991,99000) = 9
LCM(98991,99000) = ( 98991 × 99000) / 9
LCM(98991,99000) = 9800109000 / 9
LCM(98991,99000) = 1088901000

Least Common Multiple (LCM) of 98991 and 99000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98991 and 99000. First we will calculate the prime factors of 98991 and 99000.

Prime Factorization of 98991

Prime Factorization of 99000

Now multiplying the highest exponent prime factors to calculate the LCM of 98991 and 99000.

LCM(98991,99000) = 3² × 17¹ × 647¹ × 2³ × 5³ × 11¹
LCM(98991,99000) = 1088901000