What is the Least Common Multiple of 17382 and 17387?
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 17382 and 17387 is 302220834.
LCM(17382,17387) = 302220834
Least Common Multiple of 17382 and 17387 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17382 and 17387, than apply into the LCM equation.
GCF(17382,17387) = 1
LCM(17382,17387) = ( 17382 × 17387) / 1
LCM(17382,17387) = 302220834 / 1
LCM(17382,17387) = 302220834
Least Common Multiple (LCM) of 17382 and 17387 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17382 and 17387. First we will calculate the prime factors of 17382 and 17387.
Prime Factorization of 17382
Prime factors of 17382 are 2, 3, 2897. Prime factorization of 17382 in exponential form is:
17382 = 21 × 31 × 28971
Prime Factorization of 17387
Prime factors of 17387 are 17387. Prime factorization of 17387 in exponential form is:
17387 = 173871
Now multiplying the highest exponent prime factors to calculate the LCM of 17382 and 17387.
LCM(17382,17387) = 21 × 31 × 28971 × 173871
LCM(17382,17387) = 302220834
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