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What is the Least Common Multiple of 8560 and 8577?

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 8560 and 8577 is 73419120.

LCM(8560,8577) = 73419120

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Least Common Multiple of 8560 and 8577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8560 and 8577, than apply into the LCM equation.

GCF(8560,8577) = 1
LCM(8560,8577) = ( 8560 × 8577) / 1
LCM(8560,8577) = 73419120 / 1
LCM(8560,8577) = 73419120

Least Common Multiple (LCM) of 8560 and 8577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8560 and 8577. First we will calculate the prime factors of 8560 and 8577.

Prime Factorization of 8560

Prime factors of 8560 are 2, 5, 107. Prime factorization of 8560 in exponential form is:

8560 = 24 × 51 × 1071

Prime Factorization of 8577

Prime factors of 8577 are 3, 953. Prime factorization of 8577 in exponential form is:

8577 = 32 × 9531

Now multiplying the highest exponent prime factors to calculate the LCM of 8560 and 8577.

LCM(8560,8577) = 24 × 51 × 1071 × 32 × 9531
LCM(8560,8577) = 73419120