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What is the Least Common Multiple of 52040 and 52047?

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 52040 and 52047 is 2708525880.

LCM(52040,52047) = 2708525880

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Least Common Multiple of 52040 and 52047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52040 and 52047, than apply into the LCM equation.

GCF(52040,52047) = 1
LCM(52040,52047) = ( 52040 × 52047) / 1
LCM(52040,52047) = 2708525880 / 1
LCM(52040,52047) = 2708525880

Least Common Multiple (LCM) of 52040 and 52047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52040 and 52047. First we will calculate the prime factors of 52040 and 52047.

Prime Factorization of 52040

Prime factors of 52040 are 2, 5, 1301. Prime factorization of 52040 in exponential form is:

52040 = 23 × 51 × 13011

Prime Factorization of 52047

Prime factors of 52047 are 3, 5783. Prime factorization of 52047 in exponential form is:

52047 = 32 × 57831

Now multiplying the highest exponent prime factors to calculate the LCM of 52040 and 52047.

LCM(52040,52047) = 23 × 51 × 13011 × 32 × 57831
LCM(52040,52047) = 2708525880