What is the Least Common Multiple of 99928 and 99934?

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 99928 and 99934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99928 and 99934, than apply into the LCM equation.

GCF(99928,99934) = 2
LCM(99928,99934) = ( 99928 × 99934) / 2
LCM(99928,99934) = 9986204752 / 2
LCM(99928,99934) = 4993102376

Least Common Multiple (LCM) of 99928 and 99934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99928 and 99934. First we will calculate the prime factors of 99928 and 99934.

Prime Factorization of 99928

Prime Factorization of 99934

Now multiplying the highest exponent prime factors to calculate the LCM of 99928 and 99934.

LCM(99928,99934) = 2³ × 12491¹ × 29¹ × 1723¹
LCM(99928,99934) = 4993102376