What is the Least Common Multiple of 99252 and 99257?

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 99252 and 99257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99252 and 99257, than apply into the LCM equation.

GCF(99252,99257) = 1
LCM(99252,99257) = ( 99252 × 99257) / 1
LCM(99252,99257) = 9851455764 / 1
LCM(99252,99257) = 9851455764

Least Common Multiple (LCM) of 99252 and 99257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99252 and 99257. First we will calculate the prime factors of 99252 and 99257.

Prime Factorization of 99252

Prime Factorization of 99257

Now multiplying the highest exponent prime factors to calculate the LCM of 99252 and 99257.

LCM(99252,99257) = 2² × 3³ × 919¹ × 99257¹
LCM(99252,99257) = 9851455764