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What is the Least Common Multiple of 52406 and 52417?

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 52406 and 52417 is 2746965302.

LCM(52406,52417) = 2746965302

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Least Common Multiple of 52406 and 52417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52406 and 52417, than apply into the LCM equation.

GCF(52406,52417) = 1
LCM(52406,52417) = ( 52406 × 52417) / 1
LCM(52406,52417) = 2746965302 / 1
LCM(52406,52417) = 2746965302

Least Common Multiple (LCM) of 52406 and 52417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52406 and 52417. First we will calculate the prime factors of 52406 and 52417.

Prime Factorization of 52406

Prime factors of 52406 are 2, 26203. Prime factorization of 52406 in exponential form is:

52406 = 21 × 262031

Prime Factorization of 52417

Prime factors of 52417 are 23, 43, 53. Prime factorization of 52417 in exponential form is:

52417 = 231 × 431 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 52406 and 52417.

LCM(52406,52417) = 21 × 262031 × 231 × 431 × 531
LCM(52406,52417) = 2746965302