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What is the Least Common Multiple of 7565 and 7585?

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 7565 and 7585 is 11476105.

LCM(7565,7585) = 11476105

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Least Common Multiple of 7565 and 7585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7565 and 7585, than apply into the LCM equation.

GCF(7565,7585) = 5
LCM(7565,7585) = ( 7565 × 7585) / 5
LCM(7565,7585) = 57380525 / 5
LCM(7565,7585) = 11476105

Least Common Multiple (LCM) of 7565 and 7585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7565 and 7585. First we will calculate the prime factors of 7565 and 7585.

Prime Factorization of 7565

Prime factors of 7565 are 5, 17, 89. Prime factorization of 7565 in exponential form is:

7565 = 51 × 171 × 891

Prime Factorization of 7585

Prime factors of 7585 are 5, 37, 41. Prime factorization of 7585 in exponential form is:

7585 = 51 × 371 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 7565 and 7585.

LCM(7565,7585) = 51 × 171 × 891 × 371 × 411
LCM(7565,7585) = 11476105