What is the Least Common Multiple of 18374 and 18386?
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 18374 and 18386 is 168912182.
LCM(18374,18386) = 168912182
Least Common Multiple of 18374 and 18386 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18374 and 18386, than apply into the LCM equation.
GCF(18374,18386) = 2
LCM(18374,18386) = ( 18374 × 18386) / 2
LCM(18374,18386) = 337824364 / 2
LCM(18374,18386) = 168912182
Least Common Multiple (LCM) of 18374 and 18386 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18374 and 18386. First we will calculate the prime factors of 18374 and 18386.
Prime Factorization of 18374
Prime factors of 18374 are 2, 9187. Prime factorization of 18374 in exponential form is:
18374 = 21 × 91871
Prime Factorization of 18386
Prime factors of 18386 are 2, 29, 317. Prime factorization of 18386 in exponential form is:
18386 = 21 × 291 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 18374 and 18386.
LCM(18374,18386) = 21 × 91871 × 291 × 3171
LCM(18374,18386) = 168912182
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