GCF and LCM Calculator Logo

What is the Least Common Multiple of 93864 and 93879?

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 93864 and 93879 is 2937286152.

LCM(93864,93879) = 2937286152

LCM Calculator and
and

Least Common Multiple of 93864 and 93879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93864 and 93879, than apply into the LCM equation.

GCF(93864,93879) = 3
LCM(93864,93879) = ( 93864 × 93879) / 3
LCM(93864,93879) = 8811858456 / 3
LCM(93864,93879) = 2937286152

Least Common Multiple (LCM) of 93864 and 93879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93864 and 93879. First we will calculate the prime factors of 93864 and 93879.

Prime Factorization of 93864

Prime factors of 93864 are 2, 3, 3911. Prime factorization of 93864 in exponential form is:

93864 = 23 × 31 × 39111

Prime Factorization of 93879

Prime factors of 93879 are 3, 19, 61. Prime factorization of 93879 in exponential form is:

93879 = 34 × 191 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 93864 and 93879.

LCM(93864,93879) = 23 × 34 × 39111 × 191 × 611
LCM(93864,93879) = 2937286152