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What is the Least Common Multiple of 9565 and 9570?

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 9565 and 9570 is 18307410.

LCM(9565,9570) = 18307410

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Least Common Multiple of 9565 and 9570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9565 and 9570, than apply into the LCM equation.

GCF(9565,9570) = 5
LCM(9565,9570) = ( 9565 × 9570) / 5
LCM(9565,9570) = 91537050 / 5
LCM(9565,9570) = 18307410

Least Common Multiple (LCM) of 9565 and 9570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9565 and 9570. First we will calculate the prime factors of 9565 and 9570.

Prime Factorization of 9565

Prime factors of 9565 are 5, 1913. Prime factorization of 9565 in exponential form is:

9565 = 51 × 19131

Prime Factorization of 9570

Prime factors of 9570 are 2, 3, 5, 11, 29. Prime factorization of 9570 in exponential form is:

9570 = 21 × 31 × 51 × 111 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 9565 and 9570.

LCM(9565,9570) = 51 × 19131 × 21 × 31 × 111 × 291
LCM(9565,9570) = 18307410