What is the Least Common Multiple of 50879 and 50886?
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 50886 is 2589028794.
LCM(50879,50886) = 2589028794
Least Common Multiple of 50879 and 50886 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 50886, than apply into the LCM equation.
GCF(50879,50886) = 1
LCM(50879,50886) = ( 50879 × 50886) / 1
LCM(50879,50886) = 2589028794 / 1
LCM(50879,50886) = 2589028794
Least Common Multiple (LCM) of 50879 and 50886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50879 and 50886. First we will calculate the prime factors of 50879 and 50886.
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 50886
Prime factors of 50886 are 2, 3, 11, 257. Prime factorization of 50886 in exponential form is:
50886 = 21 × 32 × 111 × 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 50879 and 50886.
LCM(50879,50886) = 831 × 6131 × 21 × 32 × 111 × 2571
LCM(50879,50886) = 2589028794
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