Least Common Multiple of 3469 and 3473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3469 and 3473 the smallest integer that is 12047837 that is divisible by both numbers.

Least Common Multiple (LCM) of 3469 and 3473 is 12047837.

LCM(3469,3473) = 12047837

LCM of 3469 and 3473

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

LCM of:
and

Least Common Multiple of 3469 and 3473

LCM of 3469 and 3473 is 12047837

Least common multiple can be found by multiplying the highest exponent prime factors of 3469 and 3473. First we will calculate the prime factors of 3469 and 3473.

Prime Factorization of 3469


3469 3469
1

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

3469 = 34691

Prime Factorization of 3473


23 3473
151 151
1

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 3469 and 3473.

LCM(3469,3473) = 231×1511×34691
LCM(3469,3473) = 12047837

Factors of 3469

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

1, 3469

Factors of 3473

List of positive integer factors of 3473 that divides 3473 without a remainder.

1, 23, 151, 3473

Least Common Multiple of 3469 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 3469 and 3473, than apply into the LCM equation.

GCF(3469,3473) = 1
LCM(3469,3473) = ( 3469 × 3473) / 1
LCM(3469,3473) = 12047837 / 1
LCM(3469,3473) = 12047837

Properties of LCM 3469 and 3473

(i) The LCM of 3473 and 3469 is associative

LCM of 3469 and 3473 = LCM of 3473 and 3469

Related Least Common Multiples of 3469

Related Least Common Multiples of 3473

Frequently Asked Questions on LCM of 3469 and 3473

1. What is the LCM of 3469 and 3473?

Answer: LCM of 3469 and 3473 is 12047837.

2. 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.

3. What are the Factors of 3473?

Answer: Factors of 3473 are 1, 23, 151, 3473. There are 4 integers that are factors of 3473. The greatest factor of 3473 is 3473.

4. How to Find the LCM of 3469 and 3473?

Answer:

Least Common Multiple of 3469 and 3473 = 12047837

Step 1: Find the prime factorization of 3469

3469 = 3469

Step 2: Find the prime factorization of 3473

3473 = 23 x 151

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

LCM = 12047837 = 23 x 151 x 3469

Step 4: Therefore, the least common multiple of 3469 and 3473 is 12047837.