What is the Least Common Multiple of 99922 and 99927?

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 99922 and 99927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99922 and 99927, than apply into the LCM equation.

GCF(99922,99927) = 1
LCM(99922,99927) = ( 99922 × 99927) / 1
LCM(99922,99927) = 9984905694 / 1
LCM(99922,99927) = 9984905694

Least Common Multiple (LCM) of 99922 and 99927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99922 and 99927. First we will calculate the prime factors of 99922 and 99927.

Prime Factorization of 99922

Prime Factorization of 99927

Now multiplying the highest exponent prime factors to calculate the LCM of 99922 and 99927.

LCM(99922,99927) = 2¹ × 47¹ × 1063¹ × 3³ × 3701¹
LCM(99922,99927) = 9984905694