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What is the Least Common Multiple of 65175 and 65186?

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 65186 is 386227050.

LCM(65175,65186) = 386227050

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Least Common Multiple of 65175 and 65186 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 65186, than apply into the LCM equation.

GCF(65175,65186) = 11
LCM(65175,65186) = ( 65175 × 65186) / 11
LCM(65175,65186) = 4248497550 / 11
LCM(65175,65186) = 386227050

Least Common Multiple (LCM) of 65175 and 65186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65175 and 65186. First we will calculate the prime factors of 65175 and 65186.

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 65186

Prime factors of 65186 are 2, 11, 2963. Prime factorization of 65186 in exponential form is:

65186 = 21 × 111 × 29631

Now multiplying the highest exponent prime factors to calculate the LCM of 65175 and 65186.

LCM(65175,65186) = 31 × 52 × 111 × 791 × 21 × 29631
LCM(65175,65186) = 386227050