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What is the Least Common Multiple of 2549 and 2569?

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 2549 and 2569 is 6548381.

LCM(2549,2569) = 6548381

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Least Common Multiple of 2549 and 2569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2549 and 2569, than apply into the LCM equation.

GCF(2549,2569) = 1
LCM(2549,2569) = ( 2549 × 2569) / 1
LCM(2549,2569) = 6548381 / 1
LCM(2549,2569) = 6548381

Least Common Multiple (LCM) of 2549 and 2569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2549 and 2569. First we will calculate the prime factors of 2549 and 2569.

Prime Factorization of 2549

Prime factors of 2549 are 2549. Prime factorization of 2549 in exponential form is:

2549 = 25491

Prime Factorization of 2569

Prime factors of 2569 are 7, 367. Prime factorization of 2569 in exponential form is:

2569 = 71 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 2549 and 2569.

LCM(2549,2569) = 25491 × 71 × 3671
LCM(2549,2569) = 6548381