What is the Least Common Multiple of 17241 and 17249?
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 17241 and 17249 is 297390009.
LCM(17241,17249) = 297390009
Least Common Multiple of 17241 and 17249 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17241 and 17249, than apply into the LCM equation.
GCF(17241,17249) = 1
LCM(17241,17249) = ( 17241 × 17249) / 1
LCM(17241,17249) = 297390009 / 1
LCM(17241,17249) = 297390009
Least Common Multiple (LCM) of 17241 and 17249 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17241 and 17249. First we will calculate the prime factors of 17241 and 17249.
Prime Factorization of 17241
Prime factors of 17241 are 3, 7, 821. Prime factorization of 17241 in exponential form is:
17241 = 31 × 71 × 8211
Prime Factorization of 17249
Prime factors of 17249 are 47, 367. Prime factorization of 17249 in exponential form is:
17249 = 471 × 3671
Now multiplying the highest exponent prime factors to calculate the LCM of 17241 and 17249.
LCM(17241,17249) = 31 × 71 × 8211 × 471 × 3671
LCM(17241,17249) = 297390009
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