Least Common Multiple of 3401 and 3409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3401 and 3409 the smallest integer that is 11594009 that is divisible by both numbers.

Least Common Multiple (LCM) of 3401 and 3409 is 11594009.

LCM(3401,3409) = 11594009

LCM of 3401 and 3409

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

LCM of:
and

Least Common Multiple of 3401 and 3409

LCM of 3401 and 3409 is 11594009

Least common multiple can be found by multiplying the highest exponent prime factors of 3401 and 3409. First we will calculate the prime factors of 3401 and 3409.

Prime Factorization of 3401


19 3401
179 179
1

Prime factors of 3401 are 19,179. Prime factorization of 3401 in exponential form is:

3401 = 191×1791

Prime Factorization of 3409


7 3409
487 487
1

Prime factors of 3409 are 7,487. Prime factorization of 3409 in exponential form is:

3409 = 71×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 3401 and 3409.

LCM(3401,3409) = 71×191×1791×4871
LCM(3401,3409) = 11594009

Factors of 3401

List of positive integer factors of 3401 that divides 3401 without a remainder.

1, 19, 179, 3401

Factors of 3409

List of positive integer factors of 3409 that divides 3409 without a remainder.

1, 7, 487, 3409

Least Common Multiple of 3401 and 3409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3401 and 3409, than apply into the LCM equation.

GCF(3401,3409) = 1
LCM(3401,3409) = ( 3401 × 3409) / 1
LCM(3401,3409) = 11594009 / 1
LCM(3401,3409) = 11594009

Properties of LCM 3401 and 3409

(i) The LCM of 3409 and 3401 is associative

LCM of 3401 and 3409 = LCM of 3409 and 3401

Related Least Common Multiples of 3401

Related Least Common Multiples of 3409

Frequently Asked Questions on LCM of 3401 and 3409

1. What is the LCM of 3401 and 3409?

Answer: LCM of 3401 and 3409 is 11594009.

2. What are the Factors of 3401?

Answer: Factors of 3401 are 1, 19, 179, 3401. There are 4 integers that are factors of 3401. The greatest factor of 3401 is 3401.

3. What are the Factors of 3409?

Answer: Factors of 3409 are 1, 7, 487, 3409. There are 4 integers that are factors of 3409. The greatest factor of 3409 is 3409.

4. How to Find the LCM of 3401 and 3409?

Answer:

Least Common Multiple of 3401 and 3409 = 11594009

Step 1: Find the prime factorization of 3401

3401 = 19 x 179

Step 2: Find the prime factorization of 3409

3409 = 7 x 487

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

LCM = 11594009 = 7 x 19 x 179 x 487

Step 4: Therefore, the least common multiple of 3401 and 3409 is 11594009.