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What is the Least Common Multiple of 5599 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 5599 and 5614 is 31432786.

LCM(5599,5614) = 31432786

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Least Common Multiple of 5599 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 5599 and 5614, than apply into the LCM equation.

GCF(5599,5614) = 1
LCM(5599,5614) = ( 5599 × 5614) / 1
LCM(5599,5614) = 31432786 / 1
LCM(5599,5614) = 31432786

Least Common Multiple (LCM) of 5599 and 5614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5599 and 5614. First we will calculate the prime factors of 5599 and 5614.

Prime Factorization of 5599

Prime factors of 5599 are 11, 509. Prime factorization of 5599 in exponential form is:

5599 = 111 × 5091

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 5599 and 5614.

LCM(5599,5614) = 111 × 5091 × 21 × 71 × 4011
LCM(5599,5614) = 31432786