What is the Least Common Multiple of 22127 and 22146?
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 22127 and 22146 is 490024542.
LCM(22127,22146) = 490024542
Least Common Multiple of 22127 and 22146 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22127 and 22146, than apply into the LCM equation.
GCF(22127,22146) = 1
LCM(22127,22146) = ( 22127 × 22146) / 1
LCM(22127,22146) = 490024542 / 1
LCM(22127,22146) = 490024542
Least Common Multiple (LCM) of 22127 and 22146 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22127 and 22146. First we will calculate the prime factors of 22127 and 22146.
Prime Factorization of 22127
Prime factors of 22127 are 7, 29, 109. Prime factorization of 22127 in exponential form is:
22127 = 71 × 291 × 1091
Prime Factorization of 22146
Prime factors of 22146 are 2, 3, 3691. Prime factorization of 22146 in exponential form is:
22146 = 21 × 31 × 36911
Now multiplying the highest exponent prime factors to calculate the LCM of 22127 and 22146.
LCM(22127,22146) = 71 × 291 × 1091 × 21 × 31 × 36911
LCM(22127,22146) = 490024542
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