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What is the Least Common Multiple of 52559 and 52565?

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 52559 and 52565 is 2762763835.

LCM(52559,52565) = 2762763835

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Least Common Multiple of 52559 and 52565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52559 and 52565, than apply into the LCM equation.

GCF(52559,52565) = 1
LCM(52559,52565) = ( 52559 × 52565) / 1
LCM(52559,52565) = 2762763835 / 1
LCM(52559,52565) = 2762763835

Least Common Multiple (LCM) of 52559 and 52565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52559 and 52565. First we will calculate the prime factors of 52559 and 52565.

Prime Factorization of 52559

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

52559 = 132 × 3111

Prime Factorization of 52565

Prime factors of 52565 are 5, 10513. Prime factorization of 52565 in exponential form is:

52565 = 51 × 105131

Now multiplying the highest exponent prime factors to calculate the LCM of 52559 and 52565.

LCM(52559,52565) = 132 × 3111 × 51 × 105131
LCM(52559,52565) = 2762763835