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What is the Least Common Multiple of 41001 and 41019?

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 41001 and 41019 is 560606673.

LCM(41001,41019) = 560606673

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Least Common Multiple of 41001 and 41019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41001 and 41019, than apply into the LCM equation.

GCF(41001,41019) = 3
LCM(41001,41019) = ( 41001 × 41019) / 3
LCM(41001,41019) = 1681820019 / 3
LCM(41001,41019) = 560606673

Least Common Multiple (LCM) of 41001 and 41019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41001 and 41019. First we will calculate the prime factors of 41001 and 41019.

Prime Factorization of 41001

Prime factors of 41001 are 3, 79, 173. Prime factorization of 41001 in exponential form is:

41001 = 31 × 791 × 1731

Prime Factorization of 41019

Prime factors of 41019 are 3, 11, 113. Prime factorization of 41019 in exponential form is:

41019 = 31 × 112 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 41001 and 41019.

LCM(41001,41019) = 31 × 791 × 1731 × 112 × 1131
LCM(41001,41019) = 560606673