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What is the Least Common Multiple of 56517 and 56529?

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 56517 and 56529 is 1064949831.

LCM(56517,56529) = 1064949831

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Least Common Multiple of 56517 and 56529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56517 and 56529, than apply into the LCM equation.

GCF(56517,56529) = 3
LCM(56517,56529) = ( 56517 × 56529) / 3
LCM(56517,56529) = 3194849493 / 3
LCM(56517,56529) = 1064949831

Least Common Multiple (LCM) of 56517 and 56529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56517 and 56529. First we will calculate the prime factors of 56517 and 56529.

Prime Factorization of 56517

Prime factors of 56517 are 3, 18839. Prime factorization of 56517 in exponential form is:

56517 = 31 × 188391

Prime Factorization of 56529

Prime factors of 56529 are 3, 11, 571. Prime factorization of 56529 in exponential form is:

56529 = 32 × 111 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 56517 and 56529.

LCM(56517,56529) = 32 × 188391 × 111 × 5711
LCM(56517,56529) = 1064949831