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What is the Least Common Multiple of 52055 and 52063?

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 52055 and 52063 is 2710139465.

LCM(52055,52063) = 2710139465

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Least Common Multiple of 52055 and 52063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52055 and 52063, than apply into the LCM equation.

GCF(52055,52063) = 1
LCM(52055,52063) = ( 52055 × 52063) / 1
LCM(52055,52063) = 2710139465 / 1
LCM(52055,52063) = 2710139465

Least Common Multiple (LCM) of 52055 and 52063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52055 and 52063. First we will calculate the prime factors of 52055 and 52063.

Prime Factorization of 52055

Prime factors of 52055 are 5, 29, 359. Prime factorization of 52055 in exponential form is:

52055 = 51 × 291 × 3591

Prime Factorization of 52063

Prime factors of 52063 are 11, 4733. Prime factorization of 52063 in exponential form is:

52063 = 111 × 47331

Now multiplying the highest exponent prime factors to calculate the LCM of 52055 and 52063.

LCM(52055,52063) = 51 × 291 × 3591 × 111 × 47331
LCM(52055,52063) = 2710139465