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What is the Least Common Multiple of 5410 and 5414?

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 5410 and 5414 is 14644870.

LCM(5410,5414) = 14644870

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Least Common Multiple of 5410 and 5414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5410 and 5414, than apply into the LCM equation.

GCF(5410,5414) = 2
LCM(5410,5414) = ( 5410 × 5414) / 2
LCM(5410,5414) = 29289740 / 2
LCM(5410,5414) = 14644870

Least Common Multiple (LCM) of 5410 and 5414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5410 and 5414. First we will calculate the prime factors of 5410 and 5414.

Prime Factorization of 5410

Prime factors of 5410 are 2, 5, 541. Prime factorization of 5410 in exponential form is:

5410 = 21 × 51 × 5411

Prime Factorization of 5414

Prime factors of 5414 are 2, 2707. Prime factorization of 5414 in exponential form is:

5414 = 21 × 27071

Now multiplying the highest exponent prime factors to calculate the LCM of 5410 and 5414.

LCM(5410,5414) = 21 × 51 × 5411 × 27071
LCM(5410,5414) = 14644870