What is the Least Common Multiple of 50857 and 50877?
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 50857 and 50877 is 2587451589.
LCM(50857,50877) = 2587451589
Least Common Multiple of 50857 and 50877 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50857 and 50877, than apply into the LCM equation.
GCF(50857,50877) = 1
LCM(50857,50877) = ( 50857 × 50877) / 1
LCM(50857,50877) = 2587451589 / 1
LCM(50857,50877) = 2587451589
Least Common Multiple (LCM) of 50857 and 50877 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50857 and 50877. First we will calculate the prime factors of 50857 and 50877.
Prime Factorization of 50857
Prime factors of 50857 are 50857. Prime factorization of 50857 in exponential form is:
50857 = 508571
Prime Factorization of 50877
Prime factors of 50877 are 3, 5653. Prime factorization of 50877 in exponential form is:
50877 = 32 × 56531
Now multiplying the highest exponent prime factors to calculate the LCM of 50857 and 50877.
LCM(50857,50877) = 508571 × 32 × 56531
LCM(50857,50877) = 2587451589
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