What is the Least Common Multiple of 99241 and 99253?

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 99241 and 99253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99241 and 99253, than apply into the LCM equation.

GCF(99241,99253) = 1
LCM(99241,99253) = ( 99241 × 99253) / 1
LCM(99241,99253) = 9849966973 / 1
LCM(99241,99253) = 9849966973

Least Common Multiple (LCM) of 99241 and 99253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99241 and 99253. First we will calculate the prime factors of 99241 and 99253.

Prime Factorization of 99241

Prime Factorization of 99253

Now multiplying the highest exponent prime factors to calculate the LCM of 99241 and 99253.

LCM(99241,99253) = 99241¹ × 7¹ × 11¹ × 1289¹
LCM(99241,99253) = 9849966973