What is the Least Common Multiple of 18405 and 18422?
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 18405 and 18422 is 339056910.
LCM(18405,18422) = 339056910
Least Common Multiple of 18405 and 18422 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18405 and 18422, than apply into the LCM equation.
GCF(18405,18422) = 1
LCM(18405,18422) = ( 18405 × 18422) / 1
LCM(18405,18422) = 339056910 / 1
LCM(18405,18422) = 339056910
Least Common Multiple (LCM) of 18405 and 18422 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18405 and 18422. First we will calculate the prime factors of 18405 and 18422.
Prime Factorization of 18405
Prime factors of 18405 are 3, 5, 409. Prime factorization of 18405 in exponential form is:
18405 = 32 × 51 × 4091
Prime Factorization of 18422
Prime factors of 18422 are 2, 61, 151. Prime factorization of 18422 in exponential form is:
18422 = 21 × 611 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 18405 and 18422.
LCM(18405,18422) = 32 × 51 × 4091 × 21 × 611 × 1511
LCM(18405,18422) = 339056910
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