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What is the Least Common Multiple of 2530 and 2543?

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 2530 and 2543 is 6433790.

LCM(2530,2543) = 6433790

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Least Common Multiple of 2530 and 2543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2530 and 2543, than apply into the LCM equation.

GCF(2530,2543) = 1
LCM(2530,2543) = ( 2530 × 2543) / 1
LCM(2530,2543) = 6433790 / 1
LCM(2530,2543) = 6433790

Least Common Multiple (LCM) of 2530 and 2543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2530 and 2543. First we will calculate the prime factors of 2530 and 2543.

Prime Factorization of 2530

Prime factors of 2530 are 2, 5, 11, 23. Prime factorization of 2530 in exponential form is:

2530 = 21 × 51 × 111 × 231

Prime Factorization of 2543

Prime factors of 2543 are 2543. Prime factorization of 2543 in exponential form is:

2543 = 25431

Now multiplying the highest exponent prime factors to calculate the LCM of 2530 and 2543.

LCM(2530,2543) = 21 × 51 × 111 × 231 × 25431
LCM(2530,2543) = 6433790