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What is the Least Common Multiple of 52540 and 52559?

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 52540 and 52559 is 2761449860.

LCM(52540,52559) = 2761449860

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Least Common Multiple of 52540 and 52559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52540 and 52559, than apply into the LCM equation.

GCF(52540,52559) = 1
LCM(52540,52559) = ( 52540 × 52559) / 1
LCM(52540,52559) = 2761449860 / 1
LCM(52540,52559) = 2761449860

Least Common Multiple (LCM) of 52540 and 52559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52540 and 52559. First we will calculate the prime factors of 52540 and 52559.

Prime Factorization of 52540

Prime factors of 52540 are 2, 5, 37, 71. Prime factorization of 52540 in exponential form is:

52540 = 22 × 51 × 371 × 711

Prime Factorization of 52559

Prime factors of 52559 are 13, 311. Prime factorization of 52559 in exponential form is:

52559 = 132 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 52540 and 52559.

LCM(52540,52559) = 22 × 51 × 371 × 711 × 132 × 3111
LCM(52540,52559) = 2761449860