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What is the Least Common Multiple of 56405 and 56413?

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 56405 and 56413 is 3181975265.

LCM(56405,56413) = 3181975265

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Least Common Multiple of 56405 and 56413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56405 and 56413, than apply into the LCM equation.

GCF(56405,56413) = 1
LCM(56405,56413) = ( 56405 × 56413) / 1
LCM(56405,56413) = 3181975265 / 1
LCM(56405,56413) = 3181975265

Least Common Multiple (LCM) of 56405 and 56413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56405 and 56413. First we will calculate the prime factors of 56405 and 56413.

Prime Factorization of 56405

Prime factors of 56405 are 5, 29, 389. Prime factorization of 56405 in exponential form is:

56405 = 51 × 291 × 3891

Prime Factorization of 56413

Prime factors of 56413 are 7, 8059. Prime factorization of 56413 in exponential form is:

56413 = 71 × 80591

Now multiplying the highest exponent prime factors to calculate the LCM of 56405 and 56413.

LCM(56405,56413) = 51 × 291 × 3891 × 71 × 80591
LCM(56405,56413) = 3181975265