What is the Least Common Multiple of 98989 and 99001?

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 98989 and 99001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98989 and 99001, than apply into the LCM equation.

GCF(98989,99001) = 1
LCM(98989,99001) = ( 98989 × 99001) / 1
LCM(98989,99001) = 9800009989 / 1
LCM(98989,99001) = 9800009989

Least Common Multiple (LCM) of 98989 and 99001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98989 and 99001. First we will calculate the prime factors of 98989 and 99001.

Prime Factorization of 98989

Prime Factorization of 99001

Now multiplying the highest exponent prime factors to calculate the LCM of 98989 and 99001.

LCM(98989,99001) = 11¹ × 8999¹ × 7¹ × 14143¹
LCM(98989,99001) = 9800009989