GCF and LCM Calculator Logo

What is the Least Common Multiple of 8445 and 8465?

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 8445 and 8465 is 14297385.

LCM(8445,8465) = 14297385

LCM Calculator and
and

Least Common Multiple of 8445 and 8465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8445 and 8465, than apply into the LCM equation.

GCF(8445,8465) = 5
LCM(8445,8465) = ( 8445 × 8465) / 5
LCM(8445,8465) = 71486925 / 5
LCM(8445,8465) = 14297385

Least Common Multiple (LCM) of 8445 and 8465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8445 and 8465. First we will calculate the prime factors of 8445 and 8465.

Prime Factorization of 8445

Prime factors of 8445 are 3, 5, 563. Prime factorization of 8445 in exponential form is:

8445 = 31 × 51 × 5631

Prime Factorization of 8465

Prime factors of 8465 are 5, 1693. Prime factorization of 8465 in exponential form is:

8465 = 51 × 16931

Now multiplying the highest exponent prime factors to calculate the LCM of 8445 and 8465.

LCM(8445,8465) = 31 × 51 × 5631 × 16931
LCM(8445,8465) = 14297385