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What is the Least Common Multiple of 2517 and 2537?

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 2517 and 2537 is 6385629.

LCM(2517,2537) = 6385629

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Least Common Multiple of 2517 and 2537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2517 and 2537, than apply into the LCM equation.

GCF(2517,2537) = 1
LCM(2517,2537) = ( 2517 × 2537) / 1
LCM(2517,2537) = 6385629 / 1
LCM(2517,2537) = 6385629

Least Common Multiple (LCM) of 2517 and 2537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2517 and 2537. First we will calculate the prime factors of 2517 and 2537.

Prime Factorization of 2517

Prime factors of 2517 are 3, 839. Prime factorization of 2517 in exponential form is:

2517 = 31 × 8391

Prime Factorization of 2537

Prime factors of 2537 are 43, 59. Prime factorization of 2537 in exponential form is:

2537 = 431 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 2517 and 2537.

LCM(2517,2537) = 31 × 8391 × 431 × 591
LCM(2517,2537) = 6385629