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What is the Least Common Multiple of 5648 and 5667?

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 5648 and 5667 is 32007216.

LCM(5648,5667) = 32007216

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Least Common Multiple of 5648 and 5667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5648 and 5667, than apply into the LCM equation.

GCF(5648,5667) = 1
LCM(5648,5667) = ( 5648 × 5667) / 1
LCM(5648,5667) = 32007216 / 1
LCM(5648,5667) = 32007216

Least Common Multiple (LCM) of 5648 and 5667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5648 and 5667. First we will calculate the prime factors of 5648 and 5667.

Prime Factorization of 5648

Prime factors of 5648 are 2, 353. Prime factorization of 5648 in exponential form is:

5648 = 24 × 3531

Prime Factorization of 5667

Prime factors of 5667 are 3, 1889. Prime factorization of 5667 in exponential form is:

5667 = 31 × 18891

Now multiplying the highest exponent prime factors to calculate the LCM of 5648 and 5667.

LCM(5648,5667) = 24 × 3531 × 31 × 18891
LCM(5648,5667) = 32007216