What is the Least Common Multiple of 99231 and 99251?

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 99231 and 99251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99231 and 99251, than apply into the LCM equation.

GCF(99231,99251) = 1
LCM(99231,99251) = ( 99231 × 99251) / 1
LCM(99231,99251) = 9848775981 / 1
LCM(99231,99251) = 9848775981

Least Common Multiple (LCM) of 99231 and 99251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99231 and 99251. First we will calculate the prime factors of 99231 and 99251.

Prime Factorization of 99231

Prime Factorization of 99251

Now multiplying the highest exponent prime factors to calculate the LCM of 99231 and 99251.

LCM(99231,99251) = 3¹ × 11¹ × 31¹ × 97¹ × 99251¹
LCM(99231,99251) = 9848775981