What is the Least Common Multiple of 99323 and 99340?

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 99323 and 99340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99323 and 99340, than apply into the LCM equation.

GCF(99323,99340) = 1
LCM(99323,99340) = ( 99323 × 99340) / 1
LCM(99323,99340) = 9866746820 / 1
LCM(99323,99340) = 9866746820

Least Common Multiple (LCM) of 99323 and 99340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99323 and 99340. First we will calculate the prime factors of 99323 and 99340.

Prime Factorization of 99323

Prime Factorization of 99340

Now multiplying the highest exponent prime factors to calculate the LCM of 99323 and 99340.

LCM(99323,99340) = 7² × 2027¹ × 2² × 5¹ × 4967¹
LCM(99323,99340) = 9866746820