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What is the Least Common Multiple of 50161 and 50173?

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 50161 and 50173 is 2516727853.

LCM(50161,50173) = 2516727853

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Least Common Multiple of 50161 and 50173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50161 and 50173, than apply into the LCM equation.

GCF(50161,50173) = 1
LCM(50161,50173) = ( 50161 × 50173) / 1
LCM(50161,50173) = 2516727853 / 1
LCM(50161,50173) = 2516727853

Least Common Multiple (LCM) of 50161 and 50173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50161 and 50173. First we will calculate the prime factors of 50161 and 50173.

Prime Factorization of 50161

Prime factors of 50161 are 103, 487. Prime factorization of 50161 in exponential form is:

50161 = 1031 × 4871

Prime Factorization of 50173

Prime factors of 50173 are 131, 383. Prime factorization of 50173 in exponential form is:

50173 = 1311 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 50161 and 50173.

LCM(50161,50173) = 1031 × 4871 × 1311 × 3831
LCM(50161,50173) = 2516727853