What is the Least Common Multiple of 41066 and 41086?
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 41066 and 41086 is 843618838.
LCM(41066,41086) = 843618838
Least Common Multiple of 41066 and 41086 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41066 and 41086, than apply into the LCM equation.
GCF(41066,41086) = 2
LCM(41066,41086) = ( 41066 × 41086) / 2
LCM(41066,41086) = 1687237676 / 2
LCM(41066,41086) = 843618838
Least Common Multiple (LCM) of 41066 and 41086 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41066 and 41086. First we will calculate the prime factors of 41066 and 41086.
Prime Factorization of 41066
Prime factors of 41066 are 2, 20533. Prime factorization of 41066 in exponential form is:
41066 = 21 × 205331
Prime Factorization of 41086
Prime factors of 41086 are 2, 20543. Prime factorization of 41086 in exponential form is:
41086 = 21 × 205431
Now multiplying the highest exponent prime factors to calculate the LCM of 41066 and 41086.
LCM(41066,41086) = 21 × 205331 × 205431
LCM(41066,41086) = 843618838
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