What is the Least Common Multiple of 18401 and 18415?
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 18415 is 338854415.
LCM(18401,18415) = 338854415
Least Common Multiple of 18401 and 18415 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 18415, than apply into the LCM equation.
GCF(18401,18415) = 1
LCM(18401,18415) = ( 18401 × 18415) / 1
LCM(18401,18415) = 338854415 / 1
LCM(18401,18415) = 338854415
Least Common Multiple (LCM) of 18401 and 18415 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18401 and 18415. First we will calculate the prime factors of 18401 and 18415.
Prime Factorization of 18401
Prime factors of 18401 are 18401. Prime factorization of 18401 in exponential form is:
18401 = 184011
Prime Factorization of 18415
Prime factors of 18415 are 5, 29, 127. Prime factorization of 18415 in exponential form is:
18415 = 51 × 291 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 18401 and 18415.
LCM(18401,18415) = 184011 × 51 × 291 × 1271
LCM(18401,18415) = 338854415
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