What is the Least Common Multiple of 99228 and 99238?

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 99228 and 99238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99228 and 99238, than apply into the LCM equation.

GCF(99228,99238) = 2
LCM(99228,99238) = ( 99228 × 99238) / 2
LCM(99228,99238) = 9847188264 / 2
LCM(99228,99238) = 4923594132

Least Common Multiple (LCM) of 99228 and 99238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99228 and 99238. First we will calculate the prime factors of 99228 and 99238.

Prime Factorization of 99228

Prime Factorization of 99238

Now multiplying the highest exponent prime factors to calculate the LCM of 99228 and 99238.

LCM(99228,99238) = 2² × 3¹ × 8269¹ × 29² × 59¹
LCM(99228,99238) = 4923594132