GCF and LCM Calculator Logo

What is the Least Common Multiple of 3068 and 3083?

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 3068 and 3083 is 9458644.

LCM(3068,3083) = 9458644

LCM Calculator and
and

Least Common Multiple of 3068 and 3083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3068 and 3083, than apply into the LCM equation.

GCF(3068,3083) = 1
LCM(3068,3083) = ( 3068 × 3083) / 1
LCM(3068,3083) = 9458644 / 1
LCM(3068,3083) = 9458644

Least Common Multiple (LCM) of 3068 and 3083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3068 and 3083. First we will calculate the prime factors of 3068 and 3083.

Prime Factorization of 3068

Prime factors of 3068 are 2, 13, 59. Prime factorization of 3068 in exponential form is:

3068 = 22 × 131 × 591

Prime Factorization of 3083

Prime factors of 3083 are 3083. Prime factorization of 3083 in exponential form is:

3083 = 30831

Now multiplying the highest exponent prime factors to calculate the LCM of 3068 and 3083.

LCM(3068,3083) = 22 × 131 × 591 × 30831
LCM(3068,3083) = 9458644