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What is the Least Common Multiple of 56401 and 56409?

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 56401 and 56409 is 3181524009.

LCM(56401,56409) = 3181524009

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Least Common Multiple of 56401 and 56409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56401 and 56409, than apply into the LCM equation.

GCF(56401,56409) = 1
LCM(56401,56409) = ( 56401 × 56409) / 1
LCM(56401,56409) = 3181524009 / 1
LCM(56401,56409) = 3181524009

Least Common Multiple (LCM) of 56401 and 56409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56401 and 56409. First we will calculate the prime factors of 56401 and 56409.

Prime Factorization of 56401

Prime factors of 56401 are 56401. Prime factorization of 56401 in exponential form is:

56401 = 564011

Prime Factorization of 56409

Prime factors of 56409 are 3, 18803. Prime factorization of 56409 in exponential form is:

56409 = 31 × 188031

Now multiplying the highest exponent prime factors to calculate the LCM of 56401 and 56409.

LCM(56401,56409) = 564011 × 31 × 188031
LCM(56401,56409) = 3181524009