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What is the Least Common Multiple of 3464 and 3471?

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 3464 and 3471 is 12023544.

LCM(3464,3471) = 12023544

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Least Common Multiple of 3464 and 3471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3464 and 3471, than apply into the LCM equation.

GCF(3464,3471) = 1
LCM(3464,3471) = ( 3464 × 3471) / 1
LCM(3464,3471) = 12023544 / 1
LCM(3464,3471) = 12023544

Least Common Multiple (LCM) of 3464 and 3471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3464 and 3471. First we will calculate the prime factors of 3464 and 3471.

Prime Factorization of 3464

Prime factors of 3464 are 2, 433. Prime factorization of 3464 in exponential form is:

3464 = 23 × 4331

Prime Factorization of 3471

Prime factors of 3471 are 3, 13, 89. Prime factorization of 3471 in exponential form is:

3471 = 31 × 131 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 3464 and 3471.

LCM(3464,3471) = 23 × 4331 × 31 × 131 × 891
LCM(3464,3471) = 12023544