What is the Least Common Multiple of 17057 and 17073?
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 17057 and 17073 is 291214161.
LCM(17057,17073) = 291214161
Least Common Multiple of 17057 and 17073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17057 and 17073, than apply into the LCM equation.
GCF(17057,17073) = 1
LCM(17057,17073) = ( 17057 × 17073) / 1
LCM(17057,17073) = 291214161 / 1
LCM(17057,17073) = 291214161
Least Common Multiple (LCM) of 17057 and 17073 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17057 and 17073. First we will calculate the prime factors of 17057 and 17073.
Prime Factorization of 17057
Prime factors of 17057 are 37, 461. Prime factorization of 17057 in exponential form is:
17057 = 371 × 4611
Prime Factorization of 17073
Prime factors of 17073 are 3, 7, 271. Prime factorization of 17073 in exponential form is:
17073 = 32 × 71 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 17057 and 17073.
LCM(17057,17073) = 371 × 4611 × 32 × 71 × 2711
LCM(17057,17073) = 291214161
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