GCF and LCM Calculator Logo

What is the Least Common Multiple of 8383 and 8387?

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 8383 and 8387 is 70308221.

LCM(8383,8387) = 70308221

LCM Calculator and
and

Least Common Multiple of 8383 and 8387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8383 and 8387, than apply into the LCM equation.

GCF(8383,8387) = 1
LCM(8383,8387) = ( 8383 × 8387) / 1
LCM(8383,8387) = 70308221 / 1
LCM(8383,8387) = 70308221

Least Common Multiple (LCM) of 8383 and 8387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8383 and 8387. First we will calculate the prime factors of 8383 and 8387.

Prime Factorization of 8383

Prime factors of 8383 are 83, 101. Prime factorization of 8383 in exponential form is:

8383 = 831 × 1011

Prime Factorization of 8387

Prime factors of 8387 are 8387. Prime factorization of 8387 in exponential form is:

8387 = 83871

Now multiplying the highest exponent prime factors to calculate the LCM of 8383 and 8387.

LCM(8383,8387) = 831 × 1011 × 83871
LCM(8383,8387) = 70308221