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What is the Least Common Multiple of 5697 and 5709?

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 5697 and 5709 is 10841391.

LCM(5697,5709) = 10841391

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Least Common Multiple of 5697 and 5709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5697 and 5709, than apply into the LCM equation.

GCF(5697,5709) = 3
LCM(5697,5709) = ( 5697 × 5709) / 3
LCM(5697,5709) = 32524173 / 3
LCM(5697,5709) = 10841391

Least Common Multiple (LCM) of 5697 and 5709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5697 and 5709. First we will calculate the prime factors of 5697 and 5709.

Prime Factorization of 5697

Prime factors of 5697 are 3, 211. Prime factorization of 5697 in exponential form is:

5697 = 33 × 2111

Prime Factorization of 5709

Prime factors of 5709 are 3, 11, 173. Prime factorization of 5709 in exponential form is:

5709 = 31 × 111 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 5697 and 5709.

LCM(5697,5709) = 33 × 2111 × 111 × 1731
LCM(5697,5709) = 10841391