What is the Least Common Multiple of 99269 and 99289?

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 99269 and 99289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99269 and 99289, than apply into the LCM equation.

GCF(99269,99289) = 1
LCM(99269,99289) = ( 99269 × 99289) / 1
LCM(99269,99289) = 9856319741 / 1
LCM(99269,99289) = 9856319741

Least Common Multiple (LCM) of 99269 and 99289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99269 and 99289. First we will calculate the prime factors of 99269 and 99289.

Prime Factorization of 99269

Prime Factorization of 99289

Now multiplying the highest exponent prime factors to calculate the LCM of 99269 and 99289.

LCM(99269,99289) = 53¹ × 1873¹ × 99289¹
LCM(99269,99289) = 9856319741