What is the Least Common Multiple of 99268 and 99281?

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 99268 and 99281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99268 and 99281, than apply into the LCM equation.

GCF(99268,99281) = 13
LCM(99268,99281) = ( 99268 × 99281) / 13
LCM(99268,99281) = 9855426308 / 13
LCM(99268,99281) = 758109716

Least Common Multiple (LCM) of 99268 and 99281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99268 and 99281. First we will calculate the prime factors of 99268 and 99281.

Prime Factorization of 99268

Prime Factorization of 99281

Now multiplying the highest exponent prime factors to calculate the LCM of 99268 and 99281.

LCM(99268,99281) = 2² × 13¹ × 23¹ × 83¹ × 7¹ × 1091¹
LCM(99268,99281) = 758109716