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What is the Least Common Multiple of 56519 and 56536?

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 56519 and 56536 is 3195358184.

LCM(56519,56536) = 3195358184

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Least Common Multiple of 56519 and 56536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56519 and 56536, than apply into the LCM equation.

GCF(56519,56536) = 1
LCM(56519,56536) = ( 56519 × 56536) / 1
LCM(56519,56536) = 3195358184 / 1
LCM(56519,56536) = 3195358184

Least Common Multiple (LCM) of 56519 and 56536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56519 and 56536. First we will calculate the prime factors of 56519 and 56536.

Prime Factorization of 56519

Prime factors of 56519 are 56519. Prime factorization of 56519 in exponential form is:

56519 = 565191

Prime Factorization of 56536

Prime factors of 56536 are 2, 37, 191. Prime factorization of 56536 in exponential form is:

56536 = 23 × 371 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 56519 and 56536.

LCM(56519,56536) = 565191 × 23 × 371 × 1911
LCM(56519,56536) = 3195358184