GCF and LCM Calculator Logo

What is the Least Common Multiple of 99833 and 99853?

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 99833 and 99853 is 9968624549.

LCM(99833,99853) = 9968624549

LCM Calculator and
and

Least Common Multiple of 99833 and 99853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99833 and 99853, than apply into the LCM equation.

GCF(99833,99853) = 1
LCM(99833,99853) = ( 99833 × 99853) / 1
LCM(99833,99853) = 9968624549 / 1
LCM(99833,99853) = 9968624549

Least Common Multiple (LCM) of 99833 and 99853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99833 and 99853. First we will calculate the prime factors of 99833 and 99853.

Prime Factorization of 99833

Prime factors of 99833 are 99833. Prime factorization of 99833 in exponential form is:

99833 = 998331

Prime Factorization of 99853

Prime factors of 99853 are 13, 7681. Prime factorization of 99853 in exponential form is:

99853 = 131 × 76811

Now multiplying the highest exponent prime factors to calculate the LCM of 99833 and 99853.

LCM(99833,99853) = 998331 × 131 × 76811
LCM(99833,99853) = 9968624549