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What is the Least Common Multiple of 5614 and 5633?

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 5633 is 31623662.

LCM(5614,5633) = 31623662

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Least Common Multiple of 5614 and 5633 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 5633, than apply into the LCM equation.

GCF(5614,5633) = 1
LCM(5614,5633) = ( 5614 × 5633) / 1
LCM(5614,5633) = 31623662 / 1
LCM(5614,5633) = 31623662

Least Common Multiple (LCM) of 5614 and 5633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5614 and 5633. First we will calculate the prime factors of 5614 and 5633.

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 5633

Prime factors of 5633 are 43, 131. Prime factorization of 5633 in exponential form is:

5633 = 431 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 5614 and 5633.

LCM(5614,5633) = 21 × 71 × 4011 × 431 × 1311
LCM(5614,5633) = 31623662