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What is the Least Common Multiple of 65865 and 65871?

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 65865 and 65871 is 1446197805.

LCM(65865,65871) = 1446197805

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Least Common Multiple of 65865 and 65871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65865 and 65871, than apply into the LCM equation.

GCF(65865,65871) = 3
LCM(65865,65871) = ( 65865 × 65871) / 3
LCM(65865,65871) = 4338593415 / 3
LCM(65865,65871) = 1446197805

Least Common Multiple (LCM) of 65865 and 65871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65865 and 65871. First we will calculate the prime factors of 65865 and 65871.

Prime Factorization of 65865

Prime factors of 65865 are 3, 5, 4391. Prime factorization of 65865 in exponential form is:

65865 = 31 × 51 × 43911

Prime Factorization of 65871

Prime factors of 65871 are 3, 13, 563. Prime factorization of 65871 in exponential form is:

65871 = 32 × 131 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 65865 and 65871.

LCM(65865,65871) = 32 × 51 × 43911 × 131 × 5631
LCM(65865,65871) = 1446197805