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What is the Least Common Multiple of 5680 and 5695?

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 5680 and 5695 is 6469520.

LCM(5680,5695) = 6469520

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Least Common Multiple of 5680 and 5695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5680 and 5695, than apply into the LCM equation.

GCF(5680,5695) = 5
LCM(5680,5695) = ( 5680 × 5695) / 5
LCM(5680,5695) = 32347600 / 5
LCM(5680,5695) = 6469520

Least Common Multiple (LCM) of 5680 and 5695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5680 and 5695. First we will calculate the prime factors of 5680 and 5695.

Prime Factorization of 5680

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

5680 = 24 × 51 × 711

Prime Factorization of 5695

Prime factors of 5695 are 5, 17, 67. Prime factorization of 5695 in exponential form is:

5695 = 51 × 171 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 5680 and 5695.

LCM(5680,5695) = 24 × 51 × 711 × 171 × 671
LCM(5680,5695) = 6469520