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What is the Least Common Multiple of 56369 and 56389?

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 56369 and 56389 is 3178591541.

LCM(56369,56389) = 3178591541

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Least Common Multiple of 56369 and 56389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56369 and 56389, than apply into the LCM equation.

GCF(56369,56389) = 1
LCM(56369,56389) = ( 56369 × 56389) / 1
LCM(56369,56389) = 3178591541 / 1
LCM(56369,56389) = 3178591541

Least Common Multiple (LCM) of 56369 and 56389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56369 and 56389. First we will calculate the prime factors of 56369 and 56389.

Prime Factorization of 56369

Prime factors of 56369 are 56369. Prime factorization of 56369 in exponential form is:

56369 = 563691

Prime Factorization of 56389

Prime factors of 56389 are 17, 31, 107. Prime factorization of 56389 in exponential form is:

56389 = 171 × 311 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 56369 and 56389.

LCM(56369,56389) = 563691 × 171 × 311 × 1071
LCM(56369,56389) = 3178591541