GCF and LCM Calculator Logo

What is the Least Common Multiple of 99951 and 99957?

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 99951 and 99957 is 3330267369.

LCM(99951,99957) = 3330267369

LCM Calculator and
and

Least Common Multiple of 99951 and 99957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99951 and 99957, than apply into the LCM equation.

GCF(99951,99957) = 3
LCM(99951,99957) = ( 99951 × 99957) / 3
LCM(99951,99957) = 9990802107 / 3
LCM(99951,99957) = 3330267369

Least Common Multiple (LCM) of 99951 and 99957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99951 and 99957. First we will calculate the prime factors of 99951 and 99957.

Prime Factorization of 99951

Prime factors of 99951 are 3, 33317. Prime factorization of 99951 in exponential form is:

99951 = 31 × 333171

Prime Factorization of 99957

Prime factors of 99957 are 3, 11, 13, 233. Prime factorization of 99957 in exponential form is:

99957 = 31 × 111 × 131 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 99951 and 99957.

LCM(99951,99957) = 31 × 333171 × 111 × 131 × 2331
LCM(99951,99957) = 3330267369