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What is the Least Common Multiple of 3465 and 3473?

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 3465 and 3473 is 12033945.

LCM(3465,3473) = 12033945

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Least Common Multiple of 3465 and 3473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3465 and 3473, than apply into the LCM equation.

GCF(3465,3473) = 1
LCM(3465,3473) = ( 3465 × 3473) / 1
LCM(3465,3473) = 12033945 / 1
LCM(3465,3473) = 12033945

Least Common Multiple (LCM) of 3465 and 3473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3465 and 3473. First we will calculate the prime factors of 3465 and 3473.

Prime Factorization of 3465

Prime factors of 3465 are 3, 5, 7, 11. Prime factorization of 3465 in exponential form is:

3465 = 32 × 51 × 71 × 111

Prime Factorization of 3473

Prime factors of 3473 are 23, 151. Prime factorization of 3473 in exponential form is:

3473 = 231 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 3465 and 3473.

LCM(3465,3473) = 32 × 51 × 71 × 111 × 231 × 1511
LCM(3465,3473) = 12033945