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What is the Least Common Multiple of 2510 and 2517?

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 2510 and 2517 is 6317670.

LCM(2510,2517) = 6317670

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Least Common Multiple of 2510 and 2517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2510 and 2517, than apply into the LCM equation.

GCF(2510,2517) = 1
LCM(2510,2517) = ( 2510 × 2517) / 1
LCM(2510,2517) = 6317670 / 1
LCM(2510,2517) = 6317670

Least Common Multiple (LCM) of 2510 and 2517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2510 and 2517. First we will calculate the prime factors of 2510 and 2517.

Prime Factorization of 2510

Prime factors of 2510 are 2, 5, 251. Prime factorization of 2510 in exponential form is:

2510 = 21 × 51 × 2511

Prime Factorization of 2517

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

2517 = 31 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 2510 and 2517.

LCM(2510,2517) = 21 × 51 × 2511 × 31 × 8391
LCM(2510,2517) = 6317670