What is the Least Common Multiple of 18358 and 18367?
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 18358 and 18367 is 337181386.
LCM(18358,18367) = 337181386
Least Common Multiple of 18358 and 18367 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18358 and 18367, than apply into the LCM equation.
GCF(18358,18367) = 1
LCM(18358,18367) = ( 18358 × 18367) / 1
LCM(18358,18367) = 337181386 / 1
LCM(18358,18367) = 337181386
Least Common Multiple (LCM) of 18358 and 18367 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18358 and 18367. First we will calculate the prime factors of 18358 and 18367.
Prime Factorization of 18358
Prime factors of 18358 are 2, 67, 137. Prime factorization of 18358 in exponential form is:
18358 = 21 × 671 × 1371
Prime Factorization of 18367
Prime factors of 18367 are 18367. Prime factorization of 18367 in exponential form is:
18367 = 183671
Now multiplying the highest exponent prime factors to calculate the LCM of 18358 and 18367.
LCM(18358,18367) = 21 × 671 × 1371 × 183671
LCM(18358,18367) = 337181386
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