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What is the Least Common Multiple of 50871 and 50885?

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 50871 and 50885 is 2588570835.

LCM(50871,50885) = 2588570835

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Least Common Multiple of 50871 and 50885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50871 and 50885, than apply into the LCM equation.

GCF(50871,50885) = 1
LCM(50871,50885) = ( 50871 × 50885) / 1
LCM(50871,50885) = 2588570835 / 1
LCM(50871,50885) = 2588570835

Least Common Multiple (LCM) of 50871 and 50885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50871 and 50885. First we will calculate the prime factors of 50871 and 50885.

Prime Factorization of 50871

Prime factors of 50871 are 3, 31, 547. Prime factorization of 50871 in exponential form is:

50871 = 31 × 311 × 5471

Prime Factorization of 50885

Prime factors of 50885 are 5, 10177. Prime factorization of 50885 in exponential form is:

50885 = 51 × 101771

Now multiplying the highest exponent prime factors to calculate the LCM of 50871 and 50885.

LCM(50871,50885) = 31 × 311 × 5471 × 51 × 101771
LCM(50871,50885) = 2588570835