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What is the Least Common Multiple of 50885 and 50901?

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 50885 and 50901 is 2590097385.

LCM(50885,50901) = 2590097385

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Least Common Multiple of 50885 and 50901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50885 and 50901, than apply into the LCM equation.

GCF(50885,50901) = 1
LCM(50885,50901) = ( 50885 × 50901) / 1
LCM(50885,50901) = 2590097385 / 1
LCM(50885,50901) = 2590097385

Least Common Multiple (LCM) of 50885 and 50901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50885 and 50901. First we will calculate the prime factors of 50885 and 50901.

Prime Factorization of 50885

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

50885 = 51 × 101771

Prime Factorization of 50901

Prime factors of 50901 are 3, 19, 47. Prime factorization of 50901 in exponential form is:

50901 = 31 × 192 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 50885 and 50901.

LCM(50885,50901) = 51 × 101771 × 31 × 192 × 471
LCM(50885,50901) = 2590097385