What is the Least Common Multiple of 18353 and 18359?
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 18353 and 18359 is 336942727.
LCM(18353,18359) = 336942727
Least Common Multiple of 18353 and 18359 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18353 and 18359, than apply into the LCM equation.
GCF(18353,18359) = 1
LCM(18353,18359) = ( 18353 × 18359) / 1
LCM(18353,18359) = 336942727 / 1
LCM(18353,18359) = 336942727
Least Common Multiple (LCM) of 18353 and 18359 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18353 and 18359. First we will calculate the prime factors of 18353 and 18359.
Prime Factorization of 18353
Prime factors of 18353 are 18353. Prime factorization of 18353 in exponential form is:
18353 = 183531
Prime Factorization of 18359
Prime factors of 18359 are 11, 1669. Prime factorization of 18359 in exponential form is:
18359 = 111 × 16691
Now multiplying the highest exponent prime factors to calculate the LCM of 18353 and 18359.
LCM(18353,18359) = 183531 × 111 × 16691
LCM(18353,18359) = 336942727
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