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What is the Least Common Multiple of 5710 and 5723?

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 5710 and 5723 is 32678330.

LCM(5710,5723) = 32678330

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Least Common Multiple of 5710 and 5723 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5710 and 5723, than apply into the LCM equation.

GCF(5710,5723) = 1
LCM(5710,5723) = ( 5710 × 5723) / 1
LCM(5710,5723) = 32678330 / 1
LCM(5710,5723) = 32678330

Least Common Multiple (LCM) of 5710 and 5723 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5710 and 5723. First we will calculate the prime factors of 5710 and 5723.

Prime Factorization of 5710

Prime factors of 5710 are 2, 5, 571. Prime factorization of 5710 in exponential form is:

5710 = 21 × 51 × 5711

Prime Factorization of 5723

Prime factors of 5723 are 59, 97. Prime factorization of 5723 in exponential form is:

5723 = 591 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 5710 and 5723.

LCM(5710,5723) = 21 × 51 × 5711 × 591 × 971
LCM(5710,5723) = 32678330