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What is the Least Common Multiple of 8558 and 8565?

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 8558 and 8565 is 73299270.

LCM(8558,8565) = 73299270

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Least Common Multiple of 8558 and 8565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8558 and 8565, than apply into the LCM equation.

GCF(8558,8565) = 1
LCM(8558,8565) = ( 8558 × 8565) / 1
LCM(8558,8565) = 73299270 / 1
LCM(8558,8565) = 73299270

Least Common Multiple (LCM) of 8558 and 8565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8558 and 8565. First we will calculate the prime factors of 8558 and 8565.

Prime Factorization of 8558

Prime factors of 8558 are 2, 11, 389. Prime factorization of 8558 in exponential form is:

8558 = 21 × 111 × 3891

Prime Factorization of 8565

Prime factors of 8565 are 3, 5, 571. Prime factorization of 8565 in exponential form is:

8565 = 31 × 51 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 8558 and 8565.

LCM(8558,8565) = 21 × 111 × 3891 × 31 × 51 × 5711
LCM(8558,8565) = 73299270