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What is the Least Common Multiple of 2507 and 2513?

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 2507 and 2513 is 6300091.

LCM(2507,2513) = 6300091

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Least Common Multiple of 2507 and 2513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2507 and 2513, than apply into the LCM equation.

GCF(2507,2513) = 1
LCM(2507,2513) = ( 2507 × 2513) / 1
LCM(2507,2513) = 6300091 / 1
LCM(2507,2513) = 6300091

Least Common Multiple (LCM) of 2507 and 2513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2507 and 2513. First we will calculate the prime factors of 2507 and 2513.

Prime Factorization of 2507

Prime factors of 2507 are 23, 109. Prime factorization of 2507 in exponential form is:

2507 = 231 × 1091

Prime Factorization of 2513

Prime factors of 2513 are 7, 359. Prime factorization of 2513 in exponential form is:

2513 = 71 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 2507 and 2513.

LCM(2507,2513) = 231 × 1091 × 71 × 3591
LCM(2507,2513) = 6300091