GCF and LCM Calculator Logo

What is the Least Common Multiple of 99973 and 99992?

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 99973 and 99992 is 9996500216.

LCM(99973,99992) = 9996500216

LCM Calculator and
and

Least Common Multiple of 99973 and 99992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99973 and 99992, than apply into the LCM equation.

GCF(99973,99992) = 1
LCM(99973,99992) = ( 99973 × 99992) / 1
LCM(99973,99992) = 9996500216 / 1
LCM(99973,99992) = 9996500216

Least Common Multiple (LCM) of 99973 and 99992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99973 and 99992. First we will calculate the prime factors of 99973 and 99992.

Prime Factorization of 99973

Prime factors of 99973 are 257, 389. Prime factorization of 99973 in exponential form is:

99973 = 2571 × 3891

Prime Factorization of 99992

Prime factors of 99992 are 2, 29, 431. Prime factorization of 99992 in exponential form is:

99992 = 23 × 291 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 99973 and 99992.

LCM(99973,99992) = 2571 × 3891 × 23 × 291 × 4311
LCM(99973,99992) = 9996500216