What is the Least Common Multiple of 99009 and 99029?

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 99009 and 99029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99009 and 99029, than apply into the LCM equation.

GCF(99009,99029) = 1
LCM(99009,99029) = ( 99009 × 99029) / 1
LCM(99009,99029) = 9804762261 / 1
LCM(99009,99029) = 9804762261

Least Common Multiple (LCM) of 99009 and 99029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99009 and 99029. First we will calculate the prime factors of 99009 and 99029.

Prime Factorization of 99009

Prime Factorization of 99029

Now multiplying the highest exponent prime factors to calculate the LCM of 99009 and 99029.

LCM(99009,99029) = 3³ × 19¹ × 193¹ × 7² × 43¹ × 47¹
LCM(99009,99029) = 9804762261