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What is the Least Common Multiple of 65792 and 65811?

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 65792 and 65811 is 4329837312.

LCM(65792,65811) = 4329837312

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Least Common Multiple of 65792 and 65811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65792 and 65811, than apply into the LCM equation.

GCF(65792,65811) = 1
LCM(65792,65811) = ( 65792 × 65811) / 1
LCM(65792,65811) = 4329837312 / 1
LCM(65792,65811) = 4329837312

Least Common Multiple (LCM) of 65792 and 65811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65792 and 65811. First we will calculate the prime factors of 65792 and 65811.

Prime Factorization of 65792

Prime factors of 65792 are 2, 257. Prime factorization of 65792 in exponential form is:

65792 = 28 × 2571

Prime Factorization of 65811

Prime factors of 65811 are 3, 21937. Prime factorization of 65811 in exponential form is:

65811 = 31 × 219371

Now multiplying the highest exponent prime factors to calculate the LCM of 65792 and 65811.

LCM(65792,65811) = 28 × 2571 × 31 × 219371
LCM(65792,65811) = 4329837312