What is the Least Common Multiple of 9921 and 9933?

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 9921 and 9933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9921 and 9933, than apply into the LCM equation.

GCF(9921,9933) = 3
LCM(9921,9933) = ( 9921 × 9933) / 3
LCM(9921,9933) = 98545293 / 3
LCM(9921,9933) = 32848431

Least Common Multiple (LCM) of 9921 and 9933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9921 and 9933. First we will calculate the prime factors of 9921 and 9933.

Prime Factorization of 9921

Prime Factorization of 9933

Now multiplying the highest exponent prime factors to calculate the LCM of 9921 and 9933.

LCM(9921,9933) = 3¹ × 3307¹ × 7¹ × 11¹ × 43¹
LCM(9921,9933) = 32848431