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What is the Least Common Multiple of 65772 and 65777?

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 65772 and 65777 is 4326284844.

LCM(65772,65777) = 4326284844

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Least Common Multiple of 65772 and 65777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65772 and 65777, than apply into the LCM equation.

GCF(65772,65777) = 1
LCM(65772,65777) = ( 65772 × 65777) / 1
LCM(65772,65777) = 4326284844 / 1
LCM(65772,65777) = 4326284844

Least Common Multiple (LCM) of 65772 and 65777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65772 and 65777. First we will calculate the prime factors of 65772 and 65777.

Prime Factorization of 65772

Prime factors of 65772 are 2, 3, 7, 29. Prime factorization of 65772 in exponential form is:

65772 = 22 × 34 × 71 × 291

Prime Factorization of 65777

Prime factors of 65777 are 65777. Prime factorization of 65777 in exponential form is:

65777 = 657771

Now multiplying the highest exponent prime factors to calculate the LCM of 65772 and 65777.

LCM(65772,65777) = 22 × 34 × 71 × 291 × 657771
LCM(65772,65777) = 4326284844