What is the Least Common Multiple of 99933 and 99944?

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 99933 and 99944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99933 and 99944, than apply into the LCM equation.

GCF(99933,99944) = 1
LCM(99933,99944) = ( 99933 × 99944) / 1
LCM(99933,99944) = 9987703752 / 1
LCM(99933,99944) = 9987703752

Least Common Multiple (LCM) of 99933 and 99944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99933 and 99944. First we will calculate the prime factors of 99933 and 99944.

Prime Factorization of 99933

Prime Factorization of 99944

Now multiplying the highest exponent prime factors to calculate the LCM of 99933 and 99944.

LCM(99933,99944) = 3¹ × 33311¹ × 2³ × 13¹ × 31²
LCM(99933,99944) = 9987703752