What is the Least Common Multiple of 17143 and 17154?
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 17143 and 17154 is 294071022.
LCM(17143,17154) = 294071022
Least Common Multiple of 17143 and 17154 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17143 and 17154, than apply into the LCM equation.
GCF(17143,17154) = 1
LCM(17143,17154) = ( 17143 × 17154) / 1
LCM(17143,17154) = 294071022 / 1
LCM(17143,17154) = 294071022
Least Common Multiple (LCM) of 17143 and 17154 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17143 and 17154. First we will calculate the prime factors of 17143 and 17154.
Prime Factorization of 17143
Prime factors of 17143 are 7, 31, 79. Prime factorization of 17143 in exponential form is:
17143 = 71 × 311 × 791
Prime Factorization of 17154
Prime factors of 17154 are 2, 3, 953. Prime factorization of 17154 in exponential form is:
17154 = 21 × 32 × 9531
Now multiplying the highest exponent prime factors to calculate the LCM of 17143 and 17154.
LCM(17143,17154) = 71 × 311 × 791 × 21 × 32 × 9531
LCM(17143,17154) = 294071022
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