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What is the Least Common Multiple of 17566 and 17578?

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 17566 and 17578 is 154387574.

LCM(17566,17578) = 154387574

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Least Common Multiple of 17566 and 17578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17566 and 17578, than apply into the LCM equation.

GCF(17566,17578) = 2
LCM(17566,17578) = ( 17566 × 17578) / 2
LCM(17566,17578) = 308775148 / 2
LCM(17566,17578) = 154387574

Least Common Multiple (LCM) of 17566 and 17578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17566 and 17578. First we will calculate the prime factors of 17566 and 17578.

Prime Factorization of 17566

Prime factors of 17566 are 2, 8783. Prime factorization of 17566 in exponential form is:

17566 = 21 × 87831

Prime Factorization of 17578

Prime factors of 17578 are 2, 11, 17, 47. Prime factorization of 17578 in exponential form is:

17578 = 21 × 111 × 171 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 17566 and 17578.

LCM(17566,17578) = 21 × 87831 × 111 × 171 × 471
LCM(17566,17578) = 154387574