What is the Least Common Multiple of 98999 and 99006?

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 98999 and 99006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98999 and 99006, than apply into the LCM equation.

GCF(98999,99006) = 1
LCM(98999,99006) = ( 98999 × 99006) / 1
LCM(98999,99006) = 9801494994 / 1
LCM(98999,99006) = 9801494994

Least Common Multiple (LCM) of 98999 and 99006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98999 and 99006. First we will calculate the prime factors of 98999 and 99006.

Prime Factorization of 98999

Prime Factorization of 99006

Now multiplying the highest exponent prime factors to calculate the LCM of 98999 and 99006.

LCM(98999,99006) = 98999¹ × 2¹ × 3¹ × 29¹ × 569¹
LCM(98999,99006) = 9801494994