Least Common Multiple of 3461 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 3461 and 3469 the smallest integer that is 12006209 that is divisible by both numbers.

Least Common Multiple (LCM) of 3461 and 3469 is 12006209.

LCM(3461,3469) = 12006209

LCM of 3461 and 3469

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

LCM of:
and

Least Common Multiple of 3461 and 3469

LCM of 3461 and 3469 is 12006209

Least common multiple can be found by multiplying the highest exponent prime factors of 3461 and 3469. First we will calculate the prime factors of 3461 and 3469.

Prime Factorization of 3461


3461 3461
1

Prime factors of 3461 are 3461. Prime factorization of 3461 in exponential form is:

3461 = 34611

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 3461 and 3469.

LCM(3461,3469) = 34611×34691
LCM(3461,3469) = 12006209

Factors of 3461

List of positive integer factors of 3461 that divides 3461 without a remainder.

1, 3461

Factors of 3469

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

1, 3469

Least Common Multiple of 3461 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 3461 and 3469, than apply into the LCM equation.

GCF(3461,3469) = 1
LCM(3461,3469) = ( 3461 × 3469) / 1
LCM(3461,3469) = 12006209 / 1
LCM(3461,3469) = 12006209

Properties of LCM 3461 and 3469

(i) The LCM of 3469 and 3461 is associative

LCM of 3461 and 3469 = LCM of 3469 and 3461

Related Least Common Multiples of 3461

Related Least Common Multiples of 3469

Frequently Asked Questions on LCM of 3461 and 3469

1. What is the LCM of 3461 and 3469?

Answer: LCM of 3461 and 3469 is 12006209.

2. What are the Factors of 3461?

Answer: Factors of 3461 are 1, 3461. There are 2 integers that are factors of 3461. The greatest factor of 3461 is 3461.

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 3461 and 3469?

Answer:

Least Common Multiple of 3461 and 3469 = 12006209

Step 1: Find the prime factorization of 3461

3461 = 3461

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 = 12006209 = 3461 x 3469

Step 4: Therefore, the least common multiple of 3461 and 3469 is 12006209.