Least Common Multiple of 3462 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 3462 and 3469 the smallest integer that is 12009678 that is divisible by both numbers.

Least Common Multiple (LCM) of 3462 and 3469 is 12009678.

LCM(3462,3469) = 12009678

LCM of 3462 and 3469

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

LCM of:
and

Least Common Multiple of 3462 and 3469

LCM of 3462 and 3469 is 12009678

Least common multiple can be found by multiplying the highest exponent prime factors of 3462 and 3469. First we will calculate the prime factors of 3462 and 3469.

Prime Factorization of 3462


2 3462
3 1731
577 577
1

Prime factors of 3462 are 2, 3,577. Prime factorization of 3462 in exponential form is:

3462 = 21×31×5771

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 3462 and 3469.

LCM(3462,3469) = 21×31×5771×34691
LCM(3462,3469) = 12009678

Factors of 3462

List of positive integer factors of 3462 that divides 3462 without a remainder.

1, 2, 3, 6, 577, 1154, 1731, 3462

Factors of 3469

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

1, 3469

Least Common Multiple of 3462 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 3462 and 3469, than apply into the LCM equation.

GCF(3462,3469) = 1
LCM(3462,3469) = ( 3462 × 3469) / 1
LCM(3462,3469) = 12009678 / 1
LCM(3462,3469) = 12009678

Properties of LCM 3462 and 3469

(i) The LCM of 3469 and 3462 is associative

LCM of 3462 and 3469 = LCM of 3469 and 3462

Related Least Common Multiples of 3462

Related Least Common Multiples of 3469

Frequently Asked Questions on LCM of 3462 and 3469

1. What is the LCM of 3462 and 3469?

Answer: LCM of 3462 and 3469 is 12009678.

2. What are the Factors of 3462?

Answer: Factors of 3462 are 1, 2, 3, 6, 577, 1154, 1731, 3462. There are 8 integers that are factors of 3462. The greatest factor of 3462 is 3462.

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 3462 and 3469?

Answer:

Least Common Multiple of 3462 and 3469 = 12009678

Step 1: Find the prime factorization of 3462

3462 = 2 x 3 x 577

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 = 12009678 = 2 x 3 x 577 x 3469

Step 4: Therefore, the least common multiple of 3462 and 3469 is 12009678.