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What is the Least Common Multiple of 5494 and 5514?

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 5494 and 5514 is 15146958.

LCM(5494,5514) = 15146958

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Least Common Multiple of 5494 and 5514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5494 and 5514, than apply into the LCM equation.

GCF(5494,5514) = 2
LCM(5494,5514) = ( 5494 × 5514) / 2
LCM(5494,5514) = 30293916 / 2
LCM(5494,5514) = 15146958

Least Common Multiple (LCM) of 5494 and 5514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5494 and 5514. First we will calculate the prime factors of 5494 and 5514.

Prime Factorization of 5494

Prime factors of 5494 are 2, 41, 67. Prime factorization of 5494 in exponential form is:

5494 = 21 × 411 × 671

Prime Factorization of 5514

Prime factors of 5514 are 2, 3, 919. Prime factorization of 5514 in exponential form is:

5514 = 21 × 31 × 9191

Now multiplying the highest exponent prime factors to calculate the LCM of 5494 and 5514.

LCM(5494,5514) = 21 × 411 × 671 × 31 × 9191
LCM(5494,5514) = 15146958