GCF and LCM Calculator Logo

What is the Least Common Multiple of 99933 and 99948?

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 (LCM) of 99933 and 99948 is 3329367828.

LCM(99933,99948) = 3329367828

LCM Calculator and
and

Least Common Multiple of 99933 and 99948 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 99948, than apply into the LCM equation.

GCF(99933,99948) = 3
LCM(99933,99948) = ( 99933 × 99948) / 3
LCM(99933,99948) = 9988103484 / 3
LCM(99933,99948) = 3329367828

Least Common Multiple (LCM) of 99933 and 99948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99933 and 99948. First we will calculate the prime factors of 99933 and 99948.

Prime Factorization of 99933

Prime factors of 99933 are 3, 33311. Prime factorization of 99933 in exponential form is:

99933 = 31 × 333111

Prime Factorization of 99948

Prime factors of 99948 are 2, 3, 8329. Prime factorization of 99948 in exponential form is:

99948 = 22 × 31 × 83291

Now multiplying the highest exponent prime factors to calculate the LCM of 99933 and 99948.

LCM(99933,99948) = 31 × 333111 × 22 × 83291
LCM(99933,99948) = 3329367828