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What is the Least Common Multiple of 41046 and 41061?

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 41046 and 41061 is 561796602.

LCM(41046,41061) = 561796602

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Least Common Multiple of 41046 and 41061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41046 and 41061, than apply into the LCM equation.

GCF(41046,41061) = 3
LCM(41046,41061) = ( 41046 × 41061) / 3
LCM(41046,41061) = 1685389806 / 3
LCM(41046,41061) = 561796602

Least Common Multiple (LCM) of 41046 and 41061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41046 and 41061. First we will calculate the prime factors of 41046 and 41061.

Prime Factorization of 41046

Prime factors of 41046 are 2, 3, 6841. Prime factorization of 41046 in exponential form is:

41046 = 21 × 31 × 68411

Prime Factorization of 41061

Prime factors of 41061 are 3, 13687. Prime factorization of 41061 in exponential form is:

41061 = 31 × 136871

Now multiplying the highest exponent prime factors to calculate the LCM of 41046 and 41061.

LCM(41046,41061) = 21 × 31 × 68411 × 136871
LCM(41046,41061) = 561796602