GCF and LCM Calculator Logo

What is the Least Common Multiple of 5674 and 5682?

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 5674 and 5682 is 16119834.

LCM(5674,5682) = 16119834

LCM Calculator and
and

Least Common Multiple of 5674 and 5682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5674 and 5682, than apply into the LCM equation.

GCF(5674,5682) = 2
LCM(5674,5682) = ( 5674 × 5682) / 2
LCM(5674,5682) = 32239668 / 2
LCM(5674,5682) = 16119834

Least Common Multiple (LCM) of 5674 and 5682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5674 and 5682. First we will calculate the prime factors of 5674 and 5682.

Prime Factorization of 5674

Prime factors of 5674 are 2, 2837. Prime factorization of 5674 in exponential form is:

5674 = 21 × 28371

Prime Factorization of 5682

Prime factors of 5682 are 2, 3, 947. Prime factorization of 5682 in exponential form is:

5682 = 21 × 31 × 9471

Now multiplying the highest exponent prime factors to calculate the LCM of 5674 and 5682.

LCM(5674,5682) = 21 × 28371 × 31 × 9471
LCM(5674,5682) = 16119834