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What is the Least Common Multiple of 56461 and 56465?

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 56461 and 56465 is 3188070365.

LCM(56461,56465) = 3188070365

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Least Common Multiple of 56461 and 56465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56461 and 56465, than apply into the LCM equation.

GCF(56461,56465) = 1
LCM(56461,56465) = ( 56461 × 56465) / 1
LCM(56461,56465) = 3188070365 / 1
LCM(56461,56465) = 3188070365

Least Common Multiple (LCM) of 56461 and 56465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56461 and 56465. First we will calculate the prime factors of 56461 and 56465.

Prime Factorization of 56461

Prime factors of 56461 are 131, 431. Prime factorization of 56461 in exponential form is:

56461 = 1311 × 4311

Prime Factorization of 56465

Prime factors of 56465 are 5, 23, 491. Prime factorization of 56465 in exponential form is:

56465 = 51 × 231 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 56461 and 56465.

LCM(56461,56465) = 1311 × 4311 × 51 × 231 × 4911
LCM(56461,56465) = 3188070365