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What is the Least Common Multiple of 56504 and 56508?

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 56504 and 56508 is 798232008.

LCM(56504,56508) = 798232008

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Least Common Multiple of 56504 and 56508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56504 and 56508, than apply into the LCM equation.

GCF(56504,56508) = 4
LCM(56504,56508) = ( 56504 × 56508) / 4
LCM(56504,56508) = 3192928032 / 4
LCM(56504,56508) = 798232008

Least Common Multiple (LCM) of 56504 and 56508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56504 and 56508. First we will calculate the prime factors of 56504 and 56508.

Prime Factorization of 56504

Prime factors of 56504 are 2, 7, 1009. Prime factorization of 56504 in exponential form is:

56504 = 23 × 71 × 10091

Prime Factorization of 56508

Prime factors of 56508 are 2, 3, 17, 277. Prime factorization of 56508 in exponential form is:

56508 = 22 × 31 × 171 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 56504 and 56508.

LCM(56504,56508) = 23 × 71 × 10091 × 31 × 171 × 2771
LCM(56504,56508) = 798232008