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What is the Least Common Multiple of 49549 and 49564?

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 49549 and 49564 is 2455846636.

LCM(49549,49564) = 2455846636

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Least Common Multiple of 49549 and 49564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49549 and 49564, than apply into the LCM equation.

GCF(49549,49564) = 1
LCM(49549,49564) = ( 49549 × 49564) / 1
LCM(49549,49564) = 2455846636 / 1
LCM(49549,49564) = 2455846636

Least Common Multiple (LCM) of 49549 and 49564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49549 and 49564. First we will calculate the prime factors of 49549 and 49564.

Prime Factorization of 49549

Prime factors of 49549 are 49549. Prime factorization of 49549 in exponential form is:

49549 = 495491

Prime Factorization of 49564

Prime factors of 49564 are 2, 12391. Prime factorization of 49564 in exponential form is:

49564 = 22 × 123911

Now multiplying the highest exponent prime factors to calculate the LCM of 49549 and 49564.

LCM(49549,49564) = 495491 × 22 × 123911
LCM(49549,49564) = 2455846636