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What is the Least Common Multiple of 2562 and 2578?

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 2562 and 2578 is 3302418.

LCM(2562,2578) = 3302418

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Least Common Multiple of 2562 and 2578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2562 and 2578, than apply into the LCM equation.

GCF(2562,2578) = 2
LCM(2562,2578) = ( 2562 × 2578) / 2
LCM(2562,2578) = 6604836 / 2
LCM(2562,2578) = 3302418

Least Common Multiple (LCM) of 2562 and 2578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2562 and 2578. First we will calculate the prime factors of 2562 and 2578.

Prime Factorization of 2562

Prime factors of 2562 are 2, 3, 7, 61. Prime factorization of 2562 in exponential form is:

2562 = 21 × 31 × 71 × 611

Prime Factorization of 2578

Prime factors of 2578 are 2, 1289. Prime factorization of 2578 in exponential form is:

2578 = 21 × 12891

Now multiplying the highest exponent prime factors to calculate the LCM of 2562 and 2578.

LCM(2562,2578) = 21 × 31 × 71 × 611 × 12891
LCM(2562,2578) = 3302418