What is the Least Common Multiple of 17403 and 17409?
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 17403 and 17409 is 100989609.
LCM(17403,17409) = 100989609
Least Common Multiple of 17403 and 17409 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17403 and 17409, than apply into the LCM equation.
GCF(17403,17409) = 3
LCM(17403,17409) = ( 17403 × 17409) / 3
LCM(17403,17409) = 302968827 / 3
LCM(17403,17409) = 100989609
Least Common Multiple (LCM) of 17403 and 17409 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17403 and 17409. First we will calculate the prime factors of 17403 and 17409.
Prime Factorization of 17403
Prime factors of 17403 are 3, 5801. Prime factorization of 17403 in exponential form is:
17403 = 31 × 58011
Prime Factorization of 17409
Prime factors of 17409 are 3, 7, 829. Prime factorization of 17409 in exponential form is:
17409 = 31 × 71 × 8291
Now multiplying the highest exponent prime factors to calculate the LCM of 17403 and 17409.
LCM(17403,17409) = 31 × 58011 × 71 × 8291
LCM(17403,17409) = 100989609
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