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What is the Least Common Multiple of 65175 and 65180?

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 65175 and 65180 is 849621300.

LCM(65175,65180) = 849621300

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Least Common Multiple of 65175 and 65180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65175 and 65180, than apply into the LCM equation.

GCF(65175,65180) = 5
LCM(65175,65180) = ( 65175 × 65180) / 5
LCM(65175,65180) = 4248106500 / 5
LCM(65175,65180) = 849621300

Least Common Multiple (LCM) of 65175 and 65180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65175 and 65180. First we will calculate the prime factors of 65175 and 65180.

Prime Factorization of 65175

Prime factors of 65175 are 3, 5, 11, 79. Prime factorization of 65175 in exponential form is:

65175 = 31 × 52 × 111 × 791

Prime Factorization of 65180

Prime factors of 65180 are 2, 5, 3259. Prime factorization of 65180 in exponential form is:

65180 = 22 × 51 × 32591

Now multiplying the highest exponent prime factors to calculate the LCM of 65175 and 65180.

LCM(65175,65180) = 31 × 52 × 111 × 791 × 22 × 32591
LCM(65175,65180) = 849621300