What is the Least Common Multiple of 28127 and 28133?
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 28127 and 28133 is 791296891.
LCM(28127,28133) = 791296891
Least Common Multiple of 28127 and 28133 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28127 and 28133, than apply into the LCM equation.
GCF(28127,28133) = 1
LCM(28127,28133) = ( 28127 × 28133) / 1
LCM(28127,28133) = 791296891 / 1
LCM(28127,28133) = 791296891
Least Common Multiple (LCM) of 28127 and 28133 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28127 and 28133. First we will calculate the prime factors of 28127 and 28133.
Prime Factorization of 28127
Prime factors of 28127 are 11, 2557. Prime factorization of 28127 in exponential form is:
28127 = 111 × 25571
Prime Factorization of 28133
Prime factors of 28133 are 7, 4019. Prime factorization of 28133 in exponential form is:
28133 = 71 × 40191
Now multiplying the highest exponent prime factors to calculate the LCM of 28127 and 28133.
LCM(28127,28133) = 111 × 25571 × 71 × 40191
LCM(28127,28133) = 791296891
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