What is the Least Common Multiple of 28122 and 28127?
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 28122 and 28127 is 790987494.
LCM(28122,28127) = 790987494
Least Common Multiple of 28122 and 28127 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28122 and 28127, than apply into the LCM equation.
GCF(28122,28127) = 1
LCM(28122,28127) = ( 28122 × 28127) / 1
LCM(28122,28127) = 790987494 / 1
LCM(28122,28127) = 790987494
Least Common Multiple (LCM) of 28122 and 28127 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28122 and 28127. First we will calculate the prime factors of 28122 and 28127.
Prime Factorization of 28122
Prime factors of 28122 are 2, 3, 43, 109. Prime factorization of 28122 in exponential form is:
28122 = 21 × 31 × 431 × 1091
Prime Factorization of 28127
Prime factors of 28127 are 11, 2557. Prime factorization of 28127 in exponential form is:
28127 = 111 × 25571
Now multiplying the highest exponent prime factors to calculate the LCM of 28122 and 28127.
LCM(28122,28127) = 21 × 31 × 431 × 1091 × 111 × 25571
LCM(28122,28127) = 790987494
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