Least Common Multiple of 3463 and 3467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3463 and 3467 the smallest integer that is 12006221 that is divisible by both numbers.

Least Common Multiple (LCM) of 3463 and 3467 is 12006221.

LCM(3463,3467) = 12006221

LCM of 3463 and 3467

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3463 and 3467

LCM of 3463 and 3467 is 12006221

Least common multiple can be found by multiplying the highest exponent prime factors of 3463 and 3467. First we will calculate the prime factors of 3463 and 3467.

Prime Factorization of 3463


3463 3463
1

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

3463 = 34631

Prime Factorization of 3467


3467 3467
1

Prime factors of 3467 are 3467. Prime factorization of 3467 in exponential form is:

3467 = 34671

Now multiplying the highest exponent prime factors to calculate the LCM of 3463 and 3467.

LCM(3463,3467) = 34631×34671
LCM(3463,3467) = 12006221

Factors of 3463

List of positive integer factors of 3463 that divides 3463 without a remainder.

1, 3463

Factors of 3467

List of positive integer factors of 3467 that divides 3467 without a remainder.

1, 3467

Least Common Multiple of 3463 and 3467 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 3467, than apply into the LCM equation.

GCF(3463,3467) = 1
LCM(3463,3467) = ( 3463 × 3467) / 1
LCM(3463,3467) = 12006221 / 1
LCM(3463,3467) = 12006221

Properties of LCM 3463 and 3467

(i) The LCM of 3467 and 3463 is associative

LCM of 3463 and 3467 = LCM of 3467 and 3463

Related Least Common Multiples of 3463

Related Least Common Multiples of 3467

Frequently Asked Questions on LCM of 3463 and 3467

1. What is the LCM of 3463 and 3467?

Answer: LCM of 3463 and 3467 is 12006221.

2. What are the Factors of 3463?

Answer: Factors of 3463 are 1, 3463. There are 2 integers that are factors of 3463. The greatest factor of 3463 is 3463.

3. What are the Factors of 3467?

Answer: Factors of 3467 are 1, 3467. There are 2 integers that are factors of 3467. The greatest factor of 3467 is 3467.

4. How to Find the LCM of 3463 and 3467?

Answer:

Least Common Multiple of 3463 and 3467 = 12006221

Step 1: Find the prime factorization of 3463

3463 = 3463

Step 2: Find the prime factorization of 3467

3467 = 3467

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 12006221 = 3463 x 3467

Step 4: Therefore, the least common multiple of 3463 and 3467 is 12006221.