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What is the Least Common Multiple of 5667 and 5680?

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 5667 and 5680 is 32188560.

LCM(5667,5680) = 32188560

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Least Common Multiple of 5667 and 5680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5667 and 5680, than apply into the LCM equation.

GCF(5667,5680) = 1
LCM(5667,5680) = ( 5667 × 5680) / 1
LCM(5667,5680) = 32188560 / 1
LCM(5667,5680) = 32188560

Least Common Multiple (LCM) of 5667 and 5680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5667 and 5680. First we will calculate the prime factors of 5667 and 5680.

Prime Factorization of 5667

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

5667 = 31 × 18891

Prime Factorization of 5680

Prime factors of 5680 are 2, 5, 71. Prime factorization of 5680 in exponential form is:

5680 = 24 × 51 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 5667 and 5680.

LCM(5667,5680) = 31 × 18891 × 24 × 51 × 711
LCM(5667,5680) = 32188560