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What is the Least Common Multiple of 65277 and 65283?

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 65277 and 65283 is 1420492797.

LCM(65277,65283) = 1420492797

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Least Common Multiple of 65277 and 65283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65277 and 65283, than apply into the LCM equation.

GCF(65277,65283) = 3
LCM(65277,65283) = ( 65277 × 65283) / 3
LCM(65277,65283) = 4261478391 / 3
LCM(65277,65283) = 1420492797

Least Common Multiple (LCM) of 65277 and 65283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65277 and 65283. First we will calculate the prime factors of 65277 and 65283.

Prime Factorization of 65277

Prime factors of 65277 are 3, 7253. Prime factorization of 65277 in exponential form is:

65277 = 32 × 72531

Prime Factorization of 65283

Prime factors of 65283 are 3, 47, 463. Prime factorization of 65283 in exponential form is:

65283 = 31 × 471 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 65277 and 65283.

LCM(65277,65283) = 32 × 72531 × 471 × 4631
LCM(65277,65283) = 1420492797