GCF and LCM Calculator Logo

What is the Least Common Multiple of 8307 and 8326?

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 8307 and 8326 is 69164082.

LCM(8307,8326) = 69164082

LCM Calculator and
and

Least Common Multiple of 8307 and 8326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8307 and 8326, than apply into the LCM equation.

GCF(8307,8326) = 1
LCM(8307,8326) = ( 8307 × 8326) / 1
LCM(8307,8326) = 69164082 / 1
LCM(8307,8326) = 69164082

Least Common Multiple (LCM) of 8307 and 8326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8307 and 8326. First we will calculate the prime factors of 8307 and 8326.

Prime Factorization of 8307

Prime factors of 8307 are 3, 13, 71. Prime factorization of 8307 in exponential form is:

8307 = 32 × 131 × 711

Prime Factorization of 8326

Prime factors of 8326 are 2, 23, 181. Prime factorization of 8326 in exponential form is:

8326 = 21 × 231 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 8307 and 8326.

LCM(8307,8326) = 32 × 131 × 711 × 21 × 231 × 1811
LCM(8307,8326) = 69164082