What is the Least Common Multiple of 18413 and 18427?
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 18413 and 18427 is 339296351.
LCM(18413,18427) = 339296351
Least Common Multiple of 18413 and 18427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18413 and 18427, than apply into the LCM equation.
GCF(18413,18427) = 1
LCM(18413,18427) = ( 18413 × 18427) / 1
LCM(18413,18427) = 339296351 / 1
LCM(18413,18427) = 339296351
Least Common Multiple (LCM) of 18413 and 18427 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18413 and 18427. First we will calculate the prime factors of 18413 and 18427.
Prime Factorization of 18413
Prime factors of 18413 are 18413. Prime factorization of 18413 in exponential form is:
18413 = 184131
Prime Factorization of 18427
Prime factors of 18427 are 18427. Prime factorization of 18427 in exponential form is:
18427 = 184271
Now multiplying the highest exponent prime factors to calculate the LCM of 18413 and 18427.
LCM(18413,18427) = 184131 × 184271
LCM(18413,18427) = 339296351
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