GCF and LCM Calculator Logo

What is the Least Common Multiple of 93806 and 93813?

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 93806 and 93813 is 8800222278.

LCM(93806,93813) = 8800222278

LCM Calculator and
and

Least Common Multiple of 93806 and 93813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93806 and 93813, than apply into the LCM equation.

GCF(93806,93813) = 1
LCM(93806,93813) = ( 93806 × 93813) / 1
LCM(93806,93813) = 8800222278 / 1
LCM(93806,93813) = 8800222278

Least Common Multiple (LCM) of 93806 and 93813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93806 and 93813. First we will calculate the prime factors of 93806 and 93813.

Prime Factorization of 93806

Prime factors of 93806 are 2, 17, 31, 89. Prime factorization of 93806 in exponential form is:

93806 = 21 × 171 × 311 × 891

Prime Factorization of 93813

Prime factors of 93813 are 3, 31271. Prime factorization of 93813 in exponential form is:

93813 = 31 × 312711

Now multiplying the highest exponent prime factors to calculate the LCM of 93806 and 93813.

LCM(93806,93813) = 21 × 171 × 311 × 891 × 31 × 312711
LCM(93806,93813) = 8800222278