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What is the Least Common Multiple of 5594 and 5614?

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 5594 and 5614 is 15702358.

LCM(5594,5614) = 15702358

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Least Common Multiple of 5594 and 5614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5594 and 5614, than apply into the LCM equation.

GCF(5594,5614) = 2
LCM(5594,5614) = ( 5594 × 5614) / 2
LCM(5594,5614) = 31404716 / 2
LCM(5594,5614) = 15702358

Least Common Multiple (LCM) of 5594 and 5614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5594 and 5614. First we will calculate the prime factors of 5594 and 5614.

Prime Factorization of 5594

Prime factors of 5594 are 2, 2797. Prime factorization of 5594 in exponential form is:

5594 = 21 × 27971

Prime Factorization of 5614

Prime factors of 5614 are 2, 7, 401. Prime factorization of 5614 in exponential form is:

5614 = 21 × 71 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 5594 and 5614.

LCM(5594,5614) = 21 × 27971 × 71 × 4011
LCM(5594,5614) = 15702358