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What is the Least Common Multiple of 5720 and 5731?

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 5720 and 5731 is 2980120.

LCM(5720,5731) = 2980120

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Least Common Multiple of 5720 and 5731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5720 and 5731, than apply into the LCM equation.

GCF(5720,5731) = 11
LCM(5720,5731) = ( 5720 × 5731) / 11
LCM(5720,5731) = 32781320 / 11
LCM(5720,5731) = 2980120

Least Common Multiple (LCM) of 5720 and 5731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5720 and 5731. First we will calculate the prime factors of 5720 and 5731.

Prime Factorization of 5720

Prime factors of 5720 are 2, 5, 11, 13. Prime factorization of 5720 in exponential form is:

5720 = 23 × 51 × 111 × 131

Prime Factorization of 5731

Prime factors of 5731 are 11, 521. Prime factorization of 5731 in exponential form is:

5731 = 111 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 5720 and 5731.

LCM(5720,5731) = 23 × 51 × 111 × 131 × 5211
LCM(5720,5731) = 2980120