What is the Least Common Multiple of 18411 and 18415?
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 18415 is 339038565.
LCM(18411,18415) = 339038565
Least Common Multiple of 18411 and 18415 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 18415, than apply into the LCM equation.
GCF(18411,18415) = 1
LCM(18411,18415) = ( 18411 × 18415) / 1
LCM(18411,18415) = 339038565 / 1
LCM(18411,18415) = 339038565
Least Common Multiple (LCM) of 18411 and 18415 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18411 and 18415. First we will calculate the prime factors of 18411 and 18415.
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 18415
Prime factors of 18415 are 5, 29, 127. Prime factorization of 18415 in exponential form is:
18415 = 51 × 291 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 18411 and 18415.
LCM(18411,18415) = 31 × 171 × 192 × 51 × 291 × 1271
LCM(18411,18415) = 339038565
Related Least Common Multiples of 18411
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