What is the Least Common Multiple of 18213 and 18233?
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 18213 and 18233 is 332077629.
LCM(18213,18233) = 332077629
Least Common Multiple of 18213 and 18233 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18213 and 18233, than apply into the LCM equation.
GCF(18213,18233) = 1
LCM(18213,18233) = ( 18213 × 18233) / 1
LCM(18213,18233) = 332077629 / 1
LCM(18213,18233) = 332077629
Least Common Multiple (LCM) of 18213 and 18233 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18213 and 18233. First we will calculate the prime factors of 18213 and 18233.
Prime Factorization of 18213
Prime factors of 18213 are 3, 13, 467. Prime factorization of 18213 in exponential form is:
18213 = 31 × 131 × 4671
Prime Factorization of 18233
Prime factors of 18233 are 18233. Prime factorization of 18233 in exponential form is:
18233 = 182331
Now multiplying the highest exponent prime factors to calculate the LCM of 18213 and 18233.
LCM(18213,18233) = 31 × 131 × 4671 × 182331
LCM(18213,18233) = 332077629
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