What is the Least Common Multiple of 50861 and 50873?
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 50861 and 50873 is 2587451653.
LCM(50861,50873) = 2587451653
Least Common Multiple of 50861 and 50873 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50861 and 50873, than apply into the LCM equation.
GCF(50861,50873) = 1
LCM(50861,50873) = ( 50861 × 50873) / 1
LCM(50861,50873) = 2587451653 / 1
LCM(50861,50873) = 2587451653
Least Common Multiple (LCM) of 50861 and 50873 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50861 and 50873. First we will calculate the prime factors of 50861 and 50873.
Prime Factorization of 50861
Prime factors of 50861 are 181, 281. Prime factorization of 50861 in exponential form is:
50861 = 1811 × 2811
Prime Factorization of 50873
Prime factors of 50873 are 50873. Prime factorization of 50873 in exponential form is:
50873 = 508731
Now multiplying the highest exponent prime factors to calculate the LCM of 50861 and 50873.
LCM(50861,50873) = 1811 × 2811 × 508731
LCM(50861,50873) = 2587451653
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