GCF and LCM Calculator Logo

What is the Least Common Multiple of 93842 and 93849?

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 93842 and 93849 is 1258139694.

LCM(93842,93849) = 1258139694

LCM Calculator and
and

Least Common Multiple of 93842 and 93849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93842 and 93849, than apply into the LCM equation.

GCF(93842,93849) = 7
LCM(93842,93849) = ( 93842 × 93849) / 7
LCM(93842,93849) = 8806977858 / 7
LCM(93842,93849) = 1258139694

Least Common Multiple (LCM) of 93842 and 93849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93842 and 93849. First we will calculate the prime factors of 93842 and 93849.

Prime Factorization of 93842

Prime factors of 93842 are 2, 7, 6703. Prime factorization of 93842 in exponential form is:

93842 = 21 × 71 × 67031

Prime Factorization of 93849

Prime factors of 93849 are 3, 7, 41, 109. Prime factorization of 93849 in exponential form is:

93849 = 31 × 71 × 411 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 93842 and 93849.

LCM(93842,93849) = 21 × 71 × 67031 × 31 × 411 × 1091
LCM(93842,93849) = 1258139694