What is the Least Common Multiple of 40873 and 40886?
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 40873 and 40886 is 1671133478.
LCM(40873,40886) = 1671133478
Least Common Multiple of 40873 and 40886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40873 and 40886, than apply into the LCM equation.
GCF(40873,40886) = 1
LCM(40873,40886) = ( 40873 × 40886) / 1
LCM(40873,40886) = 1671133478 / 1
LCM(40873,40886) = 1671133478
Least Common Multiple (LCM) of 40873 and 40886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40873 and 40886. First we will calculate the prime factors of 40873 and 40886.
Prime Factorization of 40873
Prime factors of 40873 are 7, 5839. Prime factorization of 40873 in exponential form is:
40873 = 71 × 58391
Prime Factorization of 40886
Prime factors of 40886 are 2, 20443. Prime factorization of 40886 in exponential form is:
40886 = 21 × 204431
Now multiplying the highest exponent prime factors to calculate the LCM of 40873 and 40886.
LCM(40873,40886) = 71 × 58391 × 21 × 204431
LCM(40873,40886) = 1671133478
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