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What is the Least Common Multiple of 50935 and 50947?

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 50935 and 50947 is 2594985445.

LCM(50935,50947) = 2594985445

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Least Common Multiple of 50935 and 50947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50935 and 50947, than apply into the LCM equation.

GCF(50935,50947) = 1
LCM(50935,50947) = ( 50935 × 50947) / 1
LCM(50935,50947) = 2594985445 / 1
LCM(50935,50947) = 2594985445

Least Common Multiple (LCM) of 50935 and 50947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50935 and 50947. First we will calculate the prime factors of 50935 and 50947.

Prime Factorization of 50935

Prime factors of 50935 are 5, 61, 167. Prime factorization of 50935 in exponential form is:

50935 = 51 × 611 × 1671

Prime Factorization of 50947

Prime factors of 50947 are 13, 3919. Prime factorization of 50947 in exponential form is:

50947 = 131 × 39191

Now multiplying the highest exponent prime factors to calculate the LCM of 50935 and 50947.

LCM(50935,50947) = 51 × 611 × 1671 × 131 × 39191
LCM(50935,50947) = 2594985445