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What is the Least Common Multiple of 2523 and 2542?

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 2523 and 2542 is 6413466.

LCM(2523,2542) = 6413466

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Least Common Multiple of 2523 and 2542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2523 and 2542, than apply into the LCM equation.

GCF(2523,2542) = 1
LCM(2523,2542) = ( 2523 × 2542) / 1
LCM(2523,2542) = 6413466 / 1
LCM(2523,2542) = 6413466

Least Common Multiple (LCM) of 2523 and 2542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2523 and 2542. First we will calculate the prime factors of 2523 and 2542.

Prime Factorization of 2523

Prime factors of 2523 are 3, 29. Prime factorization of 2523 in exponential form is:

2523 = 31 × 292

Prime Factorization of 2542

Prime factors of 2542 are 2, 31, 41. Prime factorization of 2542 in exponential form is:

2542 = 21 × 311 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 2523 and 2542.

LCM(2523,2542) = 31 × 292 × 21 × 311 × 411
LCM(2523,2542) = 6413466