What is the Least Common Multiple of 41066 and 41082?
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 41082 is 843536706.
LCM(41066,41082) = 843536706
Least Common Multiple of 41066 and 41082 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 41082, than apply into the LCM equation.
GCF(41066,41082) = 2
LCM(41066,41082) = ( 41066 × 41082) / 2
LCM(41066,41082) = 1687073412 / 2
LCM(41066,41082) = 843536706
Least Common Multiple (LCM) of 41066 and 41082 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41066 and 41082. First we will calculate the prime factors of 41066 and 41082.
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 41082
Prime factors of 41082 are 2, 3, 41, 167. Prime factorization of 41082 in exponential form is:
41082 = 21 × 31 × 411 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 41066 and 41082.
LCM(41066,41082) = 21 × 205331 × 31 × 411 × 1671
LCM(41066,41082) = 843536706
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