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What is the Least Common Multiple of 3463 and 3481?

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 3463 and 3481 is 12054703.

LCM(3463,3481) = 12054703

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Least Common Multiple of 3463 and 3481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3463 and 3481, than apply into the LCM equation.

GCF(3463,3481) = 1
LCM(3463,3481) = ( 3463 × 3481) / 1
LCM(3463,3481) = 12054703 / 1
LCM(3463,3481) = 12054703

Least Common Multiple (LCM) of 3463 and 3481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3463 and 3481. First we will calculate the prime factors of 3463 and 3481.

Prime Factorization of 3463

Prime factors of 3463 are 3463. Prime factorization of 3463 in exponential form is:

3463 = 34631

Prime Factorization of 3481

Prime factors of 3481 are 59. Prime factorization of 3481 in exponential form is:

3481 = 592

Now multiplying the highest exponent prime factors to calculate the LCM of 3463 and 3481.

LCM(3463,3481) = 34631 × 592
LCM(3463,3481) = 12054703