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What is the Least Common Multiple of 5614 and 5621?

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 5614 and 5621 is 4508042.

LCM(5614,5621) = 4508042

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Least Common Multiple of 5614 and 5621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5614 and 5621, than apply into the LCM equation.

GCF(5614,5621) = 7
LCM(5614,5621) = ( 5614 × 5621) / 7
LCM(5614,5621) = 31556294 / 7
LCM(5614,5621) = 4508042

Least Common Multiple (LCM) of 5614 and 5621 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5614 and 5621. First we will calculate the prime factors of 5614 and 5621.

Prime Factorization of 5614

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

5614 = 21 × 71 × 4011

Prime Factorization of 5621

Prime factors of 5621 are 7, 11, 73. Prime factorization of 5621 in exponential form is:

5621 = 71 × 111 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 5614 and 5621.

LCM(5614,5621) = 21 × 71 × 4011 × 111 × 731
LCM(5614,5621) = 4508042