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What is the Least Common Multiple of 56461 and 56468?

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 56468 is 3188239748.

LCM(56461,56468) = 3188239748

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Least Common Multiple of 56461 and 56468 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 56468, than apply into the LCM equation.

GCF(56461,56468) = 1
LCM(56461,56468) = ( 56461 × 56468) / 1
LCM(56461,56468) = 3188239748 / 1
LCM(56461,56468) = 3188239748

Least Common Multiple (LCM) of 56461 and 56468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56461 and 56468. First we will calculate the prime factors of 56461 and 56468.

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 56468

Prime factors of 56468 are 2, 19, 743. Prime factorization of 56468 in exponential form is:

56468 = 22 × 191 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 56461 and 56468.

LCM(56461,56468) = 1311 × 4311 × 22 × 191 × 7431
LCM(56461,56468) = 3188239748