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What is the Least Common Multiple of 41023 and 41042?

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 41023 and 41042 is 1683665966.

LCM(41023,41042) = 1683665966

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Least Common Multiple of 41023 and 41042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41023 and 41042, than apply into the LCM equation.

GCF(41023,41042) = 1
LCM(41023,41042) = ( 41023 × 41042) / 1
LCM(41023,41042) = 1683665966 / 1
LCM(41023,41042) = 1683665966

Least Common Multiple (LCM) of 41023 and 41042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41023 and 41042. First we will calculate the prime factors of 41023 and 41042.

Prime Factorization of 41023

Prime factors of 41023 are 41023. Prime factorization of 41023 in exponential form is:

41023 = 410231

Prime Factorization of 41042

Prime factors of 41042 are 2, 20521. Prime factorization of 41042 in exponential form is:

41042 = 21 × 205211

Now multiplying the highest exponent prime factors to calculate the LCM of 41023 and 41042.

LCM(41023,41042) = 410231 × 21 × 205211
LCM(41023,41042) = 1683665966