What is the Least Common Multiple of 41687 and 41706?
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 41687 and 41706 is 1738598022.
LCM(41687,41706) = 1738598022
Least Common Multiple of 41687 and 41706 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41687 and 41706, than apply into the LCM equation.
GCF(41687,41706) = 1
LCM(41687,41706) = ( 41687 × 41706) / 1
LCM(41687,41706) = 1738598022 / 1
LCM(41687,41706) = 1738598022
Least Common Multiple (LCM) of 41687 and 41706 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41687 and 41706. First we will calculate the prime factors of 41687 and 41706.
Prime Factorization of 41687
Prime factors of 41687 are 41687. Prime factorization of 41687 in exponential form is:
41687 = 416871
Prime Factorization of 41706
Prime factors of 41706 are 2, 3, 7, 331. Prime factorization of 41706 in exponential form is:
41706 = 21 × 32 × 71 × 3311
Now multiplying the highest exponent prime factors to calculate the LCM of 41687 and 41706.
LCM(41687,41706) = 416871 × 21 × 32 × 71 × 3311
LCM(41687,41706) = 1738598022
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