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What is the Least Common Multiple of 50161 and 50169?

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 50169 is 2516527209.

LCM(50161,50169) = 2516527209

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Least Common Multiple of 50161 and 50169 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 50169, than apply into the LCM equation.

GCF(50161,50169) = 1
LCM(50161,50169) = ( 50161 × 50169) / 1
LCM(50161,50169) = 2516527209 / 1
LCM(50161,50169) = 2516527209

Least Common Multiple (LCM) of 50161 and 50169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50161 and 50169. First we will calculate the prime factors of 50161 and 50169.

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 50169

Prime factors of 50169 are 3, 7, 2389. Prime factorization of 50169 in exponential form is:

50169 = 31 × 71 × 23891

Now multiplying the highest exponent prime factors to calculate the LCM of 50161 and 50169.

LCM(50161,50169) = 1031 × 4871 × 31 × 71 × 23891
LCM(50161,50169) = 2516527209