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What is the Least Common Multiple of 52769 and 52777?

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 52769 and 52777 is 2784989513.

LCM(52769,52777) = 2784989513

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Least Common Multiple of 52769 and 52777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52769 and 52777, than apply into the LCM equation.

GCF(52769,52777) = 1
LCM(52769,52777) = ( 52769 × 52777) / 1
LCM(52769,52777) = 2784989513 / 1
LCM(52769,52777) = 2784989513

Least Common Multiple (LCM) of 52769 and 52777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52769 and 52777. First we will calculate the prime factors of 52769 and 52777.

Prime Factorization of 52769

Prime factors of 52769 are 52769. Prime factorization of 52769 in exponential form is:

52769 = 527691

Prime Factorization of 52777

Prime factors of 52777 are 89, 593. Prime factorization of 52777 in exponential form is:

52777 = 891 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 52769 and 52777.

LCM(52769,52777) = 527691 × 891 × 5931
LCM(52769,52777) = 2784989513