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What is the Least Common Multiple of 52817 and 52837?

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 52817 and 52837 is 2790691829.

LCM(52817,52837) = 2790691829

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Least Common Multiple of 52817 and 52837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52817 and 52837, than apply into the LCM equation.

GCF(52817,52837) = 1
LCM(52817,52837) = ( 52817 × 52837) / 1
LCM(52817,52837) = 2790691829 / 1
LCM(52817,52837) = 2790691829

Least Common Multiple (LCM) of 52817 and 52837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52817 and 52837. First we will calculate the prime factors of 52817 and 52837.

Prime Factorization of 52817

Prime factors of 52817 are 52817. Prime factorization of 52817 in exponential form is:

52817 = 528171

Prime Factorization of 52837

Prime factors of 52837 are 52837. Prime factorization of 52837 in exponential form is:

52837 = 528371

Now multiplying the highest exponent prime factors to calculate the LCM of 52817 and 52837.

LCM(52817,52837) = 528171 × 528371
LCM(52817,52837) = 2790691829