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What is the Least Common Multiple of 56286 and 56306?

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 56286 and 56306 is 1584619758.

LCM(56286,56306) = 1584619758

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Least Common Multiple of 56286 and 56306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56286 and 56306, than apply into the LCM equation.

GCF(56286,56306) = 2
LCM(56286,56306) = ( 56286 × 56306) / 2
LCM(56286,56306) = 3169239516 / 2
LCM(56286,56306) = 1584619758

Least Common Multiple (LCM) of 56286 and 56306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56286 and 56306. First we will calculate the prime factors of 56286 and 56306.

Prime Factorization of 56286

Prime factors of 56286 are 2, 3, 53, 59. Prime factorization of 56286 in exponential form is:

56286 = 21 × 32 × 531 × 591

Prime Factorization of 56306

Prime factors of 56306 are 2, 47, 599. Prime factorization of 56306 in exponential form is:

56306 = 21 × 471 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 56286 and 56306.

LCM(56286,56306) = 21 × 32 × 531 × 591 × 471 × 5991
LCM(56286,56306) = 1584619758