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What is the Least Common Multiple of 15710 and 15727?

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 15710 and 15727 is 247071170.

LCM(15710,15727) = 247071170

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Least Common Multiple of 15710 and 15727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15710 and 15727, than apply into the LCM equation.

GCF(15710,15727) = 1
LCM(15710,15727) = ( 15710 × 15727) / 1
LCM(15710,15727) = 247071170 / 1
LCM(15710,15727) = 247071170

Least Common Multiple (LCM) of 15710 and 15727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15710 and 15727. First we will calculate the prime factors of 15710 and 15727.

Prime Factorization of 15710

Prime factors of 15710 are 2, 5, 1571. Prime factorization of 15710 in exponential form is:

15710 = 21 × 51 × 15711

Prime Factorization of 15727

Prime factors of 15727 are 15727. Prime factorization of 15727 in exponential form is:

15727 = 157271

Now multiplying the highest exponent prime factors to calculate the LCM of 15710 and 15727.

LCM(15710,15727) = 21 × 51 × 15711 × 157271
LCM(15710,15727) = 247071170