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What is the Least Common Multiple of 5690 and 5706?

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 5690 and 5706 is 16233570.

LCM(5690,5706) = 16233570

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Least Common Multiple of 5690 and 5706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5690 and 5706, than apply into the LCM equation.

GCF(5690,5706) = 2
LCM(5690,5706) = ( 5690 × 5706) / 2
LCM(5690,5706) = 32467140 / 2
LCM(5690,5706) = 16233570

Least Common Multiple (LCM) of 5690 and 5706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5690 and 5706. First we will calculate the prime factors of 5690 and 5706.

Prime Factorization of 5690

Prime factors of 5690 are 2, 5, 569. Prime factorization of 5690 in exponential form is:

5690 = 21 × 51 × 5691

Prime Factorization of 5706

Prime factors of 5706 are 2, 3, 317. Prime factorization of 5706 in exponential form is:

5706 = 21 × 32 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 5690 and 5706.

LCM(5690,5706) = 21 × 51 × 5691 × 32 × 3171
LCM(5690,5706) = 16233570