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What is the Least Common Multiple of 41089 and 41102?

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 41089 and 41102 is 1688840078.

LCM(41089,41102) = 1688840078

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Least Common Multiple of 41089 and 41102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41089 and 41102, than apply into the LCM equation.

GCF(41089,41102) = 1
LCM(41089,41102) = ( 41089 × 41102) / 1
LCM(41089,41102) = 1688840078 / 1
LCM(41089,41102) = 1688840078

Least Common Multiple (LCM) of 41089 and 41102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41089 and 41102. First we will calculate the prime factors of 41089 and 41102.

Prime Factorization of 41089

Prime factors of 41089 are 17, 2417. Prime factorization of 41089 in exponential form is:

41089 = 171 × 24171

Prime Factorization of 41102

Prime factors of 41102 are 2, 20551. Prime factorization of 41102 in exponential form is:

41102 = 21 × 205511

Now multiplying the highest exponent prime factors to calculate the LCM of 41089 and 41102.

LCM(41089,41102) = 171 × 24171 × 21 × 205511
LCM(41089,41102) = 1688840078