What is the Least Common Multiple of 18056 and 18063?
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 18056 and 18063 is 326145528.
LCM(18056,18063) = 326145528
Least Common Multiple of 18056 and 18063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18056 and 18063, than apply into the LCM equation.
GCF(18056,18063) = 1
LCM(18056,18063) = ( 18056 × 18063) / 1
LCM(18056,18063) = 326145528 / 1
LCM(18056,18063) = 326145528
Least Common Multiple (LCM) of 18056 and 18063 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18056 and 18063. First we will calculate the prime factors of 18056 and 18063.
Prime Factorization of 18056
Prime factors of 18056 are 2, 37, 61. Prime factorization of 18056 in exponential form is:
18056 = 23 × 371 × 611
Prime Factorization of 18063
Prime factors of 18063 are 3, 223. Prime factorization of 18063 in exponential form is:
18063 = 34 × 2231
Now multiplying the highest exponent prime factors to calculate the LCM of 18056 and 18063.
LCM(18056,18063) = 23 × 371 × 611 × 34 × 2231
LCM(18056,18063) = 326145528
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