What is the Least Common Multiple of 18411 and 18429?
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 18411 and 18429 is 113098773.
LCM(18411,18429) = 113098773
Least Common Multiple of 18411 and 18429 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18411 and 18429, than apply into the LCM equation.
GCF(18411,18429) = 3
LCM(18411,18429) = ( 18411 × 18429) / 3
LCM(18411,18429) = 339296319 / 3
LCM(18411,18429) = 113098773
Least Common Multiple (LCM) of 18411 and 18429 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18411 and 18429. First we will calculate the prime factors of 18411 and 18429.
Prime Factorization of 18411
Prime factors of 18411 are 3, 17, 19. Prime factorization of 18411 in exponential form is:
18411 = 31 × 171 × 192
Prime Factorization of 18429
Prime factors of 18429 are 3, 6143. Prime factorization of 18429 in exponential form is:
18429 = 31 × 61431
Now multiplying the highest exponent prime factors to calculate the LCM of 18411 and 18429.
LCM(18411,18429) = 31 × 171 × 192 × 61431
LCM(18411,18429) = 113098773
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