What is the Least Common Multiple of 50879 and 50883?
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 50879 and 50883 is 2588876157.
LCM(50879,50883) = 2588876157
Least Common Multiple of 50879 and 50883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50879 and 50883, than apply into the LCM equation.
GCF(50879,50883) = 1
LCM(50879,50883) = ( 50879 × 50883) / 1
LCM(50879,50883) = 2588876157 / 1
LCM(50879,50883) = 2588876157
Least Common Multiple (LCM) of 50879 and 50883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50879 and 50883. First we will calculate the prime factors of 50879 and 50883.
Prime Factorization of 50879
Prime factors of 50879 are 83, 613. Prime factorization of 50879 in exponential form is:
50879 = 831 × 6131
Prime Factorization of 50883
Prime factors of 50883 are 3, 7, 2423. Prime factorization of 50883 in exponential form is:
50883 = 31 × 71 × 24231
Now multiplying the highest exponent prime factors to calculate the LCM of 50879 and 50883.
LCM(50879,50883) = 831 × 6131 × 31 × 71 × 24231
LCM(50879,50883) = 2588876157
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