Least Common Multiple of 3463 and 3469

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 3469 the smallest integer that is 12013147 that is divisible by both numbers.

Least Common Multiple (LCM) of 3463 and 3469 is 12013147.

LCM(3463,3469) = 12013147

LCM of 3463 and 3469

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

LCM of:
and

Least Common Multiple of 3463 and 3469

LCM of 3463 and 3469 is 12013147

Least common multiple can be found by multiplying the highest exponent prime factors of 3463 and 3469. First we will calculate the prime factors of 3463 and 3469.

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 3469


3469 3469
1

Prime factors of 3469 are 3469. Prime factorization of 3469 in exponential form is:

3469 = 34691

Now multiplying the highest exponent prime factors to calculate the LCM of 3463 and 3469.

LCM(3463,3469) = 34631×34691
LCM(3463,3469) = 12013147

Factors of 3463

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

1, 3463

Factors of 3469

List of positive integer factors of 3469 that divides 3469 without a remainder.

1, 3469

Least Common Multiple of 3463 and 3469 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 3469, than apply into the LCM equation.

GCF(3463,3469) = 1
LCM(3463,3469) = ( 3463 × 3469) / 1
LCM(3463,3469) = 12013147 / 1
LCM(3463,3469) = 12013147

Properties of LCM 3463 and 3469

(i) The LCM of 3469 and 3463 is associative

LCM of 3463 and 3469 = LCM of 3469 and 3463

Related Least Common Multiples of 3463

Related Least Common Multiples of 3469

Frequently Asked Questions on LCM of 3463 and 3469

1. What is the LCM of 3463 and 3469?

Answer: LCM of 3463 and 3469 is 12013147.

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 3469?

Answer: Factors of 3469 are 1, 3469. There are 2 integers that are factors of 3469. The greatest factor of 3469 is 3469.

4. How to Find the LCM of 3463 and 3469?

Answer:

Least Common Multiple of 3463 and 3469 = 12013147

Step 1: Find the prime factorization of 3463

3463 = 3463

Step 2: Find the prime factorization of 3469

3469 = 3469

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

LCM = 12013147 = 3463 x 3469

Step 4: Therefore, the least common multiple of 3463 and 3469 is 12013147.