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What is the Least Common Multiple of 2563 and 2579?

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 2563 and 2579 is 6609977.

LCM(2563,2579) = 6609977

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Least Common Multiple of 2563 and 2579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2563 and 2579, than apply into the LCM equation.

GCF(2563,2579) = 1
LCM(2563,2579) = ( 2563 × 2579) / 1
LCM(2563,2579) = 6609977 / 1
LCM(2563,2579) = 6609977

Least Common Multiple (LCM) of 2563 and 2579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2563 and 2579. First we will calculate the prime factors of 2563 and 2579.

Prime Factorization of 2563

Prime factors of 2563 are 11, 233. Prime factorization of 2563 in exponential form is:

2563 = 111 × 2331

Prime Factorization of 2579

Prime factors of 2579 are 2579. Prime factorization of 2579 in exponential form is:

2579 = 25791

Now multiplying the highest exponent prime factors to calculate the LCM of 2563 and 2579.

LCM(2563,2579) = 111 × 2331 × 25791
LCM(2563,2579) = 6609977