What is the Least Common Multiple of 99238 and 99248?

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 99238 and 99248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99238 and 99248, than apply into the LCM equation.

GCF(99238,99248) = 2
LCM(99238,99248) = ( 99238 × 99248) / 2
LCM(99238,99248) = 9849173024 / 2
LCM(99238,99248) = 4924586512

Least Common Multiple (LCM) of 99238 and 99248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99238 and 99248. First we will calculate the prime factors of 99238 and 99248.

Prime Factorization of 99238

Prime Factorization of 99248

Now multiplying the highest exponent prime factors to calculate the LCM of 99238 and 99248.

LCM(99238,99248) = 2⁴ × 29² × 59¹ × 6203¹
LCM(99238,99248) = 4924586512