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What is the Least Common Multiple of 3443 and 3448?

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 3443 and 3448 is 11871464.

LCM(3443,3448) = 11871464

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Least Common Multiple of 3443 and 3448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3443 and 3448, than apply into the LCM equation.

GCF(3443,3448) = 1
LCM(3443,3448) = ( 3443 × 3448) / 1
LCM(3443,3448) = 11871464 / 1
LCM(3443,3448) = 11871464

Least Common Multiple (LCM) of 3443 and 3448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3443 and 3448. First we will calculate the prime factors of 3443 and 3448.

Prime Factorization of 3443

Prime factors of 3443 are 11, 313. Prime factorization of 3443 in exponential form is:

3443 = 111 × 3131

Prime Factorization of 3448

Prime factors of 3448 are 2, 431. Prime factorization of 3448 in exponential form is:

3448 = 23 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 3443 and 3448.

LCM(3443,3448) = 111 × 3131 × 23 × 4311
LCM(3443,3448) = 11871464