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What is the Least Common Multiple of 52063 and 52078?

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 52063 and 52078 is 2711336914.

LCM(52063,52078) = 2711336914

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Least Common Multiple of 52063 and 52078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52063 and 52078, than apply into the LCM equation.

GCF(52063,52078) = 1
LCM(52063,52078) = ( 52063 × 52078) / 1
LCM(52063,52078) = 2711336914 / 1
LCM(52063,52078) = 2711336914

Least Common Multiple (LCM) of 52063 and 52078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52063 and 52078. First we will calculate the prime factors of 52063 and 52078.

Prime Factorization of 52063

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

52063 = 111 × 47331

Prime Factorization of 52078

Prime factors of 52078 are 2, 13, 2003. Prime factorization of 52078 in exponential form is:

52078 = 21 × 131 × 20031

Now multiplying the highest exponent prime factors to calculate the LCM of 52063 and 52078.

LCM(52063,52078) = 111 × 47331 × 21 × 131 × 20031
LCM(52063,52078) = 2711336914