What is the Least Common Multiple of 18812 and 18826?
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 18812 and 18826 is 177077356.
LCM(18812,18826) = 177077356
Least Common Multiple of 18812 and 18826 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18812 and 18826, than apply into the LCM equation.
GCF(18812,18826) = 2
LCM(18812,18826) = ( 18812 × 18826) / 2
LCM(18812,18826) = 354154712 / 2
LCM(18812,18826) = 177077356
Least Common Multiple (LCM) of 18812 and 18826 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18812 and 18826. First we will calculate the prime factors of 18812 and 18826.
Prime Factorization of 18812
Prime factors of 18812 are 2, 4703. Prime factorization of 18812 in exponential form is:
18812 = 22 × 47031
Prime Factorization of 18826
Prime factors of 18826 are 2, 9413. Prime factorization of 18826 in exponential form is:
18826 = 21 × 94131
Now multiplying the highest exponent prime factors to calculate the LCM of 18812 and 18826.
LCM(18812,18826) = 22 × 47031 × 94131
LCM(18812,18826) = 177077356
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