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What is the Least Common Multiple of 65895 and 65900?

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 65895 and 65900 is 868496100.

LCM(65895,65900) = 868496100

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Least Common Multiple of 65895 and 65900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65895 and 65900, than apply into the LCM equation.

GCF(65895,65900) = 5
LCM(65895,65900) = ( 65895 × 65900) / 5
LCM(65895,65900) = 4342480500 / 5
LCM(65895,65900) = 868496100

Least Common Multiple (LCM) of 65895 and 65900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65895 and 65900. First we will calculate the prime factors of 65895 and 65900.

Prime Factorization of 65895

Prime factors of 65895 are 3, 5, 23, 191. Prime factorization of 65895 in exponential form is:

65895 = 31 × 51 × 231 × 1911

Prime Factorization of 65900

Prime factors of 65900 are 2, 5, 659. Prime factorization of 65900 in exponential form is:

65900 = 22 × 52 × 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 65895 and 65900.

LCM(65895,65900) = 31 × 52 × 231 × 1911 × 22 × 6591
LCM(65895,65900) = 868496100