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What is the Least Common Multiple of 5652 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 5652 and 5667 is 10676628.

LCM(5652,5667) = 10676628

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Least Common Multiple of 5652 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 5652 and 5667, than apply into the LCM equation.

GCF(5652,5667) = 3
LCM(5652,5667) = ( 5652 × 5667) / 3
LCM(5652,5667) = 32029884 / 3
LCM(5652,5667) = 10676628

Least Common Multiple (LCM) of 5652 and 5667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5652 and 5667. First we will calculate the prime factors of 5652 and 5667.

Prime Factorization of 5652

Prime factors of 5652 are 2, 3, 157. Prime factorization of 5652 in exponential form is:

5652 = 22 × 32 × 1571

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 5652 and 5667.

LCM(5652,5667) = 22 × 32 × 1571 × 18891
LCM(5652,5667) = 10676628