What is the Least Common Multiple of 14122 and 14127?
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 14122 and 14127 is 199501494.
LCM(14122,14127) = 199501494
Least Common Multiple of 14122 and 14127 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14122 and 14127, than apply into the LCM equation.
GCF(14122,14127) = 1
LCM(14122,14127) = ( 14122 × 14127) / 1
LCM(14122,14127) = 199501494 / 1
LCM(14122,14127) = 199501494
Least Common Multiple (LCM) of 14122 and 14127 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14122 and 14127. First we will calculate the prime factors of 14122 and 14127.
Prime Factorization of 14122
Prime factors of 14122 are 2, 23, 307. Prime factorization of 14122 in exponential form is:
14122 = 21 × 231 × 3071
Prime Factorization of 14127
Prime factors of 14127 are 3, 17, 277. Prime factorization of 14127 in exponential form is:
14127 = 31 × 171 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 14122 and 14127.
LCM(14122,14127) = 21 × 231 × 3071 × 31 × 171 × 2771
LCM(14122,14127) = 199501494
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