What is the Least Common Multiple of 99921 and 99933?

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 99921 and 99933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99921 and 99933, than apply into the LCM equation.

GCF(99921,99933) = 3
LCM(99921,99933) = ( 99921 × 99933) / 3
LCM(99921,99933) = 9985405293 / 3
LCM(99921,99933) = 3328468431

Least Common Multiple (LCM) of 99921 and 99933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99921 and 99933. First we will calculate the prime factors of 99921 and 99933.

Prime Factorization of 99921

Prime Factorization of 99933

Now multiplying the highest exponent prime factors to calculate the LCM of 99921 and 99933.

LCM(99921,99933) = 3¹ × 19¹ × 1753¹ × 33311¹
LCM(99921,99933) = 3328468431