What is the Least Common Multiple of 99288 and 99292?

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 99288 and 99292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99288 and 99292, than apply into the LCM equation.

GCF(99288,99292) = 4
LCM(99288,99292) = ( 99288 × 99292) / 4
LCM(99288,99292) = 9858504096 / 4
LCM(99288,99292) = 2464626024

Least Common Multiple (LCM) of 99288 and 99292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99288 and 99292. First we will calculate the prime factors of 99288 and 99292.

Prime Factorization of 99288

Prime Factorization of 99292

Now multiplying the highest exponent prime factors to calculate the LCM of 99288 and 99292.

LCM(99288,99292) = 2³ × 3² × 7¹ × 197¹ × 103¹ × 241¹
LCM(99288,99292) = 2464626024