GCF and LCM Calculator Logo

What is the Least Common Multiple of 83794 and 83799?

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 83794 and 83799 is 7021853406.

LCM(83794,83799) = 7021853406

LCM Calculator and
and

Least Common Multiple of 83794 and 83799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83794 and 83799, than apply into the LCM equation.

GCF(83794,83799) = 1
LCM(83794,83799) = ( 83794 × 83799) / 1
LCM(83794,83799) = 7021853406 / 1
LCM(83794,83799) = 7021853406

Least Common Multiple (LCM) of 83794 and 83799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83794 and 83799. First we will calculate the prime factors of 83794 and 83799.

Prime Factorization of 83794

Prime factors of 83794 are 2, 41897. Prime factorization of 83794 in exponential form is:

83794 = 21 × 418971

Prime Factorization of 83799

Prime factors of 83799 are 3, 9311. Prime factorization of 83799 in exponential form is:

83799 = 32 × 93111

Now multiplying the highest exponent prime factors to calculate the LCM of 83794 and 83799.

LCM(83794,83799) = 21 × 418971 × 32 × 93111
LCM(83794,83799) = 7021853406