GCF and LCM Calculator Logo

What is the Least Common Multiple of 8678 and 8683?

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 8678 and 8683 is 75351074.

LCM(8678,8683) = 75351074

LCM Calculator and
and

Least Common Multiple of 8678 and 8683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8678 and 8683, than apply into the LCM equation.

GCF(8678,8683) = 1
LCM(8678,8683) = ( 8678 × 8683) / 1
LCM(8678,8683) = 75351074 / 1
LCM(8678,8683) = 75351074

Least Common Multiple (LCM) of 8678 and 8683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8678 and 8683. First we will calculate the prime factors of 8678 and 8683.

Prime Factorization of 8678

Prime factors of 8678 are 2, 4339. Prime factorization of 8678 in exponential form is:

8678 = 21 × 43391

Prime Factorization of 8683

Prime factors of 8683 are 19, 457. Prime factorization of 8683 in exponential form is:

8683 = 191 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 8678 and 8683.

LCM(8678,8683) = 21 × 43391 × 191 × 4571
LCM(8678,8683) = 75351074