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What is the Least Common Multiple of 3473 and 3488?

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 3473 and 3488 is 12113824.

LCM(3473,3488) = 12113824

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Least Common Multiple of 3473 and 3488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3473 and 3488, than apply into the LCM equation.

GCF(3473,3488) = 1
LCM(3473,3488) = ( 3473 × 3488) / 1
LCM(3473,3488) = 12113824 / 1
LCM(3473,3488) = 12113824

Least Common Multiple (LCM) of 3473 and 3488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3473 and 3488. First we will calculate the prime factors of 3473 and 3488.

Prime Factorization of 3473

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

3473 = 231 × 1511

Prime Factorization of 3488

Prime factors of 3488 are 2, 109. Prime factorization of 3488 in exponential form is:

3488 = 25 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 3473 and 3488.

LCM(3473,3488) = 231 × 1511 × 25 × 1091
LCM(3473,3488) = 12113824