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What is the Least Common Multiple of 41458 and 41467?

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 41458 and 41467 is 1719138886.

LCM(41458,41467) = 1719138886

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Least Common Multiple of 41458 and 41467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41458 and 41467, than apply into the LCM equation.

GCF(41458,41467) = 1
LCM(41458,41467) = ( 41458 × 41467) / 1
LCM(41458,41467) = 1719138886 / 1
LCM(41458,41467) = 1719138886

Least Common Multiple (LCM) of 41458 and 41467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41458 and 41467. First we will calculate the prime factors of 41458 and 41467.

Prime Factorization of 41458

Prime factors of 41458 are 2, 19, 1091. Prime factorization of 41458 in exponential form is:

41458 = 21 × 191 × 10911

Prime Factorization of 41467

Prime factors of 41467 are 41467. Prime factorization of 41467 in exponential form is:

41467 = 414671

Now multiplying the highest exponent prime factors to calculate the LCM of 41458 and 41467.

LCM(41458,41467) = 21 × 191 × 10911 × 414671
LCM(41458,41467) = 1719138886