What is the Least Common Multiple of 18397 and 18411?
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 18397 and 18411 is 338707167.
LCM(18397,18411) = 338707167
Least Common Multiple of 18397 and 18411 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18397 and 18411, than apply into the LCM equation.
GCF(18397,18411) = 1
LCM(18397,18411) = ( 18397 × 18411) / 1
LCM(18397,18411) = 338707167 / 1
LCM(18397,18411) = 338707167
Least Common Multiple (LCM) of 18397 and 18411 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18397 and 18411. First we will calculate the prime factors of 18397 and 18411.
Prime Factorization of 18397
Prime factors of 18397 are 18397. Prime factorization of 18397 in exponential form is:
18397 = 183971
Prime Factorization of 18411
Prime factors of 18411 are 3, 17, 19. Prime factorization of 18411 in exponential form is:
18411 = 31 × 171 × 192
Now multiplying the highest exponent prime factors to calculate the LCM of 18397 and 18411.
LCM(18397,18411) = 183971 × 31 × 171 × 192
LCM(18397,18411) = 338707167
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