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What is the Least Common Multiple of 56290 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 56290 and 56306 is 1584732370.

LCM(56290,56306) = 1584732370

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Least Common Multiple of 56290 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 56290 and 56306, than apply into the LCM equation.

GCF(56290,56306) = 2
LCM(56290,56306) = ( 56290 × 56306) / 2
LCM(56290,56306) = 3169464740 / 2
LCM(56290,56306) = 1584732370

Least Common Multiple (LCM) of 56290 and 56306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56290 and 56306. First we will calculate the prime factors of 56290 and 56306.

Prime Factorization of 56290

Prime factors of 56290 are 2, 5, 13, 433. Prime factorization of 56290 in exponential form is:

56290 = 21 × 51 × 131 × 4331

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 56290 and 56306.

LCM(56290,56306) = 21 × 51 × 131 × 4331 × 471 × 5991
LCM(56290,56306) = 1584732370