What is the Least Common Multiple of 50882 and 50894?
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 50882 and 50894 is 1294794254.
LCM(50882,50894) = 1294794254
Least Common Multiple of 50882 and 50894 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50882 and 50894, than apply into the LCM equation.
GCF(50882,50894) = 2
LCM(50882,50894) = ( 50882 × 50894) / 2
LCM(50882,50894) = 2589588508 / 2
LCM(50882,50894) = 1294794254
Least Common Multiple (LCM) of 50882 and 50894 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50882 and 50894. First we will calculate the prime factors of 50882 and 50894.
Prime Factorization of 50882
Prime factors of 50882 are 2, 13, 19, 103. Prime factorization of 50882 in exponential form is:
50882 = 21 × 131 × 191 × 1031
Prime Factorization of 50894
Prime factors of 50894 are 2, 25447. Prime factorization of 50894 in exponential form is:
50894 = 21 × 254471
Now multiplying the highest exponent prime factors to calculate the LCM of 50882 and 50894.
LCM(50882,50894) = 21 × 131 × 191 × 1031 × 254471
LCM(50882,50894) = 1294794254
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