What is the Least Common Multiple of 99257 and 99267?

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 99257 and 99267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99257 and 99267, than apply into the LCM equation.

GCF(99257,99267) = 1
LCM(99257,99267) = ( 99257 × 99267) / 1
LCM(99257,99267) = 9852944619 / 1
LCM(99257,99267) = 9852944619

Least Common Multiple (LCM) of 99257 and 99267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99257 and 99267. First we will calculate the prime factors of 99257 and 99267.

Prime Factorization of 99257

Prime Factorization of 99267

Now multiplying the highest exponent prime factors to calculate the LCM of 99257 and 99267.

LCM(99257,99267) = 99257¹ × 3¹ × 7¹ × 29¹ × 163¹
LCM(99257,99267) = 9852944619