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What is the Least Common Multiple of 2506 and 2520?

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 2506 and 2520 is 451080.

LCM(2506,2520) = 451080

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Least Common Multiple of 2506 and 2520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2506 and 2520, than apply into the LCM equation.

GCF(2506,2520) = 14
LCM(2506,2520) = ( 2506 × 2520) / 14
LCM(2506,2520) = 6315120 / 14
LCM(2506,2520) = 451080

Least Common Multiple (LCM) of 2506 and 2520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2506 and 2520. First we will calculate the prime factors of 2506 and 2520.

Prime Factorization of 2506

Prime factors of 2506 are 2, 7, 179. Prime factorization of 2506 in exponential form is:

2506 = 21 × 71 × 1791

Prime Factorization of 2520

Prime factors of 2520 are 2, 3, 5, 7. Prime factorization of 2520 in exponential form is:

2520 = 23 × 32 × 51 × 71

Now multiplying the highest exponent prime factors to calculate the LCM of 2506 and 2520.

LCM(2506,2520) = 23 × 71 × 1791 × 32 × 51
LCM(2506,2520) = 451080