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What is the Least Common Multiple of 5668 and 5688?

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 5668 and 5688 is 8059896.

LCM(5668,5688) = 8059896

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Least Common Multiple of 5668 and 5688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5668 and 5688, than apply into the LCM equation.

GCF(5668,5688) = 4
LCM(5668,5688) = ( 5668 × 5688) / 4
LCM(5668,5688) = 32239584 / 4
LCM(5668,5688) = 8059896

Least Common Multiple (LCM) of 5668 and 5688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5668 and 5688. First we will calculate the prime factors of 5668 and 5688.

Prime Factorization of 5668

Prime factors of 5668 are 2, 13, 109. Prime factorization of 5668 in exponential form is:

5668 = 22 × 131 × 1091

Prime Factorization of 5688

Prime factors of 5688 are 2, 3, 79. Prime factorization of 5688 in exponential form is:

5688 = 23 × 32 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 5668 and 5688.

LCM(5668,5688) = 23 × 131 × 1091 × 32 × 791
LCM(5668,5688) = 8059896