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What is the Least Common Multiple of 41353 and 41367?

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 41353 and 41367 is 1710649551.

LCM(41353,41367) = 1710649551

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Least Common Multiple of 41353 and 41367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41353 and 41367, than apply into the LCM equation.

GCF(41353,41367) = 1
LCM(41353,41367) = ( 41353 × 41367) / 1
LCM(41353,41367) = 1710649551 / 1
LCM(41353,41367) = 1710649551

Least Common Multiple (LCM) of 41353 and 41367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41353 and 41367. First we will calculate the prime factors of 41353 and 41367.

Prime Factorization of 41353

Prime factors of 41353 are 13, 3181. Prime factorization of 41353 in exponential form is:

41353 = 131 × 31811

Prime Factorization of 41367

Prime factors of 41367 are 3, 13789. Prime factorization of 41367 in exponential form is:

41367 = 31 × 137891

Now multiplying the highest exponent prime factors to calculate the LCM of 41353 and 41367.

LCM(41353,41367) = 131 × 31811 × 31 × 137891
LCM(41353,41367) = 1710649551