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What is the Least Common Multiple of 41207 and 41227?

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 41207 and 41227 is 1698840989.

LCM(41207,41227) = 1698840989

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Least Common Multiple of 41207 and 41227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41207 and 41227, than apply into the LCM equation.

GCF(41207,41227) = 1
LCM(41207,41227) = ( 41207 × 41227) / 1
LCM(41207,41227) = 1698840989 / 1
LCM(41207,41227) = 1698840989

Least Common Multiple (LCM) of 41207 and 41227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41207 and 41227. First we will calculate the prime factors of 41207 and 41227.

Prime Factorization of 41207

Prime factors of 41207 are 89, 463. Prime factorization of 41207 in exponential form is:

41207 = 891 × 4631

Prime Factorization of 41227

Prime factors of 41227 are 41227. Prime factorization of 41227 in exponential form is:

41227 = 412271

Now multiplying the highest exponent prime factors to calculate the LCM of 41207 and 41227.

LCM(41207,41227) = 891 × 4631 × 412271
LCM(41207,41227) = 1698840989