What is the Least Common Multiple of 18326 and 18331?
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 18326 and 18331 is 335933906.
LCM(18326,18331) = 335933906
Least Common Multiple of 18326 and 18331 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18326 and 18331, than apply into the LCM equation.
GCF(18326,18331) = 1
LCM(18326,18331) = ( 18326 × 18331) / 1
LCM(18326,18331) = 335933906 / 1
LCM(18326,18331) = 335933906
Least Common Multiple (LCM) of 18326 and 18331 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18326 and 18331. First we will calculate the prime factors of 18326 and 18331.
Prime Factorization of 18326
Prime factors of 18326 are 2, 7, 11, 17. Prime factorization of 18326 in exponential form is:
18326 = 21 × 72 × 111 × 171
Prime Factorization of 18331
Prime factors of 18331 are 23, 797. Prime factorization of 18331 in exponential form is:
18331 = 231 × 7971
Now multiplying the highest exponent prime factors to calculate the LCM of 18326 and 18331.
LCM(18326,18331) = 21 × 72 × 111 × 171 × 231 × 7971
LCM(18326,18331) = 335933906
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