GCF and LCM Calculator Logo

What is the Least Common Multiple of 93831 and 93842?

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 93831 and 93842 is 8805288702.

LCM(93831,93842) = 8805288702

LCM Calculator and
and

Least Common Multiple of 93831 and 93842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93831 and 93842, than apply into the LCM equation.

GCF(93831,93842) = 1
LCM(93831,93842) = ( 93831 × 93842) / 1
LCM(93831,93842) = 8805288702 / 1
LCM(93831,93842) = 8805288702

Least Common Multiple (LCM) of 93831 and 93842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93831 and 93842. First we will calculate the prime factors of 93831 and 93842.

Prime Factorization of 93831

Prime factors of 93831 are 3, 31277. Prime factorization of 93831 in exponential form is:

93831 = 31 × 312771

Prime Factorization of 93842

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

93842 = 21 × 71 × 67031

Now multiplying the highest exponent prime factors to calculate the LCM of 93831 and 93842.

LCM(93831,93842) = 31 × 312771 × 21 × 71 × 67031
LCM(93831,93842) = 8805288702