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What is the Least Common Multiple of 5674 and 5686?

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 5686 is 16131182.

LCM(5674,5686) = 16131182

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Least Common Multiple of 5674 and 5686 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 5686, than apply into the LCM equation.

GCF(5674,5686) = 2
LCM(5674,5686) = ( 5674 × 5686) / 2
LCM(5674,5686) = 32262364 / 2
LCM(5674,5686) = 16131182

Least Common Multiple (LCM) of 5674 and 5686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5674 and 5686. First we will calculate the prime factors of 5674 and 5686.

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 5686

Prime factors of 5686 are 2, 2843. Prime factorization of 5686 in exponential form is:

5686 = 21 × 28431

Now multiplying the highest exponent prime factors to calculate the LCM of 5674 and 5686.

LCM(5674,5686) = 21 × 28371 × 28431
LCM(5674,5686) = 16131182