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What is the Least Common Multiple of 5635 and 5644?

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 5635 and 5644 is 31803940.

LCM(5635,5644) = 31803940

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Least Common Multiple of 5635 and 5644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5635 and 5644, than apply into the LCM equation.

GCF(5635,5644) = 1
LCM(5635,5644) = ( 5635 × 5644) / 1
LCM(5635,5644) = 31803940 / 1
LCM(5635,5644) = 31803940

Least Common Multiple (LCM) of 5635 and 5644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5635 and 5644. First we will calculate the prime factors of 5635 and 5644.

Prime Factorization of 5635

Prime factors of 5635 are 5, 7, 23. Prime factorization of 5635 in exponential form is:

5635 = 51 × 72 × 231

Prime Factorization of 5644

Prime factors of 5644 are 2, 17, 83. Prime factorization of 5644 in exponential form is:

5644 = 22 × 171 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 5635 and 5644.

LCM(5635,5644) = 51 × 72 × 231 × 22 × 171 × 831
LCM(5635,5644) = 31803940