What is the Least Common Multiple of 18401 and 18409?
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 18401 and 18409 is 338744009.
LCM(18401,18409) = 338744009
Least Common Multiple of 18401 and 18409 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18401 and 18409, than apply into the LCM equation.
GCF(18401,18409) = 1
LCM(18401,18409) = ( 18401 × 18409) / 1
LCM(18401,18409) = 338744009 / 1
LCM(18401,18409) = 338744009
Least Common Multiple (LCM) of 18401 and 18409 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18401 and 18409. First we will calculate the prime factors of 18401 and 18409.
Prime Factorization of 18401
Prime factors of 18401 are 18401. Prime factorization of 18401 in exponential form is:
18401 = 184011
Prime Factorization of 18409
Prime factors of 18409 are 41, 449. Prime factorization of 18409 in exponential form is:
18409 = 411 × 4491
Now multiplying the highest exponent prime factors to calculate the LCM of 18401 and 18409.
LCM(18401,18409) = 184011 × 411 × 4491
LCM(18401,18409) = 338744009
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