What is the Least Common Multiple of 18311 and 18319?
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 18311 and 18319 is 335439209.
LCM(18311,18319) = 335439209
Least Common Multiple of 18311 and 18319 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18311 and 18319, than apply into the LCM equation.
GCF(18311,18319) = 1
LCM(18311,18319) = ( 18311 × 18319) / 1
LCM(18311,18319) = 335439209 / 1
LCM(18311,18319) = 335439209
Least Common Multiple (LCM) of 18311 and 18319 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18311 and 18319. First we will calculate the prime factors of 18311 and 18319.
Prime Factorization of 18311
Prime factors of 18311 are 18311. Prime factorization of 18311 in exponential form is:
18311 = 183111
Prime Factorization of 18319
Prime factors of 18319 are 7, 2617. Prime factorization of 18319 in exponential form is:
18319 = 71 × 26171
Now multiplying the highest exponent prime factors to calculate the LCM of 18311 and 18319.
LCM(18311,18319) = 183111 × 71 × 26171
LCM(18311,18319) = 335439209
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