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What is the Least Common Multiple of 5676 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 5676 and 5680 is 8059920.

LCM(5676,5680) = 8059920

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Least Common Multiple of 5676 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 5676 and 5680, than apply into the LCM equation.

GCF(5676,5680) = 4
LCM(5676,5680) = ( 5676 × 5680) / 4
LCM(5676,5680) = 32239680 / 4
LCM(5676,5680) = 8059920

Least Common Multiple (LCM) of 5676 and 5680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5676 and 5680. First we will calculate the prime factors of 5676 and 5680.

Prime Factorization of 5676

Prime factors of 5676 are 2, 3, 11, 43. Prime factorization of 5676 in exponential form is:

5676 = 22 × 31 × 111 × 431

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 5676 and 5680.

LCM(5676,5680) = 24 × 31 × 111 × 431 × 51 × 711
LCM(5676,5680) = 8059920