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What is the Least Common Multiple of 56519 and 56537?

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 56537 is 3195414703.

LCM(56519,56537) = 3195414703

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Least Common Multiple of 56519 and 56537 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 56537, than apply into the LCM equation.

GCF(56519,56537) = 1
LCM(56519,56537) = ( 56519 × 56537) / 1
LCM(56519,56537) = 3195414703 / 1
LCM(56519,56537) = 3195414703

Least Common Multiple (LCM) of 56519 and 56537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56519 and 56537. First we will calculate the prime factors of 56519 and 56537.

Prime Factorization of 56519

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

56519 = 565191

Prime Factorization of 56537

Prime factors of 56537 are 13, 4349. Prime factorization of 56537 in exponential form is:

56537 = 131 × 43491

Now multiplying the highest exponent prime factors to calculate the LCM of 56519 and 56537.

LCM(56519,56537) = 565191 × 131 × 43491
LCM(56519,56537) = 3195414703