What is the Least Common Multiple of 99299 and 99307?

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 99299 and 99307 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99299 and 99307, than apply into the LCM equation.

GCF(99299,99307) = 1
LCM(99299,99307) = ( 99299 × 99307) / 1
LCM(99299,99307) = 9861085793 / 1
LCM(99299,99307) = 9861085793

Least Common Multiple (LCM) of 99299 and 99307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99299 and 99307. First we will calculate the prime factors of 99299 and 99307.

Prime Factorization of 99299

Prime Factorization of 99307

Now multiplying the highest exponent prime factors to calculate the LCM of 99299 and 99307.

LCM(99299,99307) = 109¹ × 911¹ × 13¹ × 7639¹
LCM(99299,99307) = 9861085793