What is the Least Common Multiple of 99269 and 99276?

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 99276 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 99276, than apply into the LCM equation.

GCF(99269,99276) = 1
LCM(99269,99276) = ( 99269 × 99276) / 1
LCM(99269,99276) = 9855029244 / 1
LCM(99269,99276) = 9855029244

Least Common Multiple (LCM) of 99269 and 99276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99269 and 99276. First we will calculate the prime factors of 99269 and 99276.

Prime Factorization of 99269

Prime Factorization of 99276

Now multiplying the highest exponent prime factors to calculate the LCM of 99269 and 99276.

LCM(99269,99276) = 53¹ × 1873¹ × 2² × 3¹ × 8273¹
LCM(99269,99276) = 9855029244