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What is the Least Common Multiple of 6565 and 6585?

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 6565 and 6585 is 8646105.

LCM(6565,6585) = 8646105

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Least Common Multiple of 6565 and 6585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6565 and 6585, than apply into the LCM equation.

GCF(6565,6585) = 5
LCM(6565,6585) = ( 6565 × 6585) / 5
LCM(6565,6585) = 43230525 / 5
LCM(6565,6585) = 8646105

Least Common Multiple (LCM) of 6565 and 6585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6565 and 6585. First we will calculate the prime factors of 6565 and 6585.

Prime Factorization of 6565

Prime factors of 6565 are 5, 13, 101. Prime factorization of 6565 in exponential form is:

6565 = 51 × 131 × 1011

Prime Factorization of 6585

Prime factors of 6585 are 3, 5, 439. Prime factorization of 6585 in exponential form is:

6585 = 31 × 51 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 6565 and 6585.

LCM(6565,6585) = 51 × 131 × 1011 × 31 × 4391
LCM(6565,6585) = 8646105