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What is the Least Common Multiple of 50517 and 50531?

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 50517 and 50531 is 2552674527.

LCM(50517,50531) = 2552674527

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Least Common Multiple of 50517 and 50531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50517 and 50531, than apply into the LCM equation.

GCF(50517,50531) = 1
LCM(50517,50531) = ( 50517 × 50531) / 1
LCM(50517,50531) = 2552674527 / 1
LCM(50517,50531) = 2552674527

Least Common Multiple (LCM) of 50517 and 50531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50517 and 50531. First we will calculate the prime factors of 50517 and 50531.

Prime Factorization of 50517

Prime factors of 50517 are 3, 1871. Prime factorization of 50517 in exponential form is:

50517 = 33 × 18711

Prime Factorization of 50531

Prime factors of 50531 are 13, 23. Prime factorization of 50531 in exponential form is:

50531 = 133 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 50517 and 50531.

LCM(50517,50531) = 33 × 18711 × 133 × 231
LCM(50517,50531) = 2552674527