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What is the Least Common Multiple of 10566 and 10586?

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 10566 and 10586 is 55925838.

LCM(10566,10586) = 55925838

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Least Common Multiple of 10566 and 10586 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10566 and 10586, than apply into the LCM equation.

GCF(10566,10586) = 2
LCM(10566,10586) = ( 10566 × 10586) / 2
LCM(10566,10586) = 111851676 / 2
LCM(10566,10586) = 55925838

Least Common Multiple (LCM) of 10566 and 10586 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10566 and 10586. First we will calculate the prime factors of 10566 and 10586.

Prime Factorization of 10566

Prime factors of 10566 are 2, 3, 587. Prime factorization of 10566 in exponential form is:

10566 = 21 × 32 × 5871

Prime Factorization of 10586

Prime factors of 10586 are 2, 67, 79. Prime factorization of 10586 in exponential form is:

10586 = 21 × 671 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 10566 and 10586.

LCM(10566,10586) = 21 × 32 × 5871 × 671 × 791
LCM(10566,10586) = 55925838