Least Common Multiple of 3401 and 3408

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 3408 the smallest integer that is 11590608 that is divisible by both numbers.

Least Common Multiple (LCM) of 3401 and 3408 is 11590608.

LCM(3401,3408) = 11590608

LCM of 3401 and 3408

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

LCM of:
and

Least Common Multiple of 3401 and 3408

LCM of 3401 and 3408 is 11590608

Least common multiple can be found by multiplying the highest exponent prime factors of 3401 and 3408. First we will calculate the prime factors of 3401 and 3408.

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 3408


2 3408
2 1704
2 852
2 426
3 213
71 71
1

Prime factors of 3408 are 2, 3,71. Prime factorization of 3408 in exponential form is:

3408 = 24×31×711

Now multiplying the highest exponent prime factors to calculate the LCM of 3401 and 3408.

LCM(3401,3408) = 24×31×191×711×1791
LCM(3401,3408) = 11590608

Factors of 3401

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

1, 19, 179, 3401

Factors of 3408

List of positive integer factors of 3408 that divides 3408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 71, 142, 213, 284, 426, 568, 852, 1136, 1704, 3408

Least Common Multiple of 3401 and 3408 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 3408, than apply into the LCM equation.

GCF(3401,3408) = 1
LCM(3401,3408) = ( 3401 × 3408) / 1
LCM(3401,3408) = 11590608 / 1
LCM(3401,3408) = 11590608

Properties of LCM 3401 and 3408

(i) The LCM of 3408 and 3401 is associative

LCM of 3401 and 3408 = LCM of 3408 and 3401

Related Least Common Multiples of 3401

Related Least Common Multiples of 3408

Frequently Asked Questions on LCM of 3401 and 3408

1. What is the LCM of 3401 and 3408?

Answer: LCM of 3401 and 3408 is 11590608.

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 3408?

Answer: Factors of 3408 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 71, 142, 213, 284, 426, 568, 852, 1136, 1704, 3408. There are 20 integers that are factors of 3408. The greatest factor of 3408 is 3408.

4. How to Find the LCM of 3401 and 3408?

Answer:

Least Common Multiple of 3401 and 3408 = 11590608

Step 1: Find the prime factorization of 3401

3401 = 19 x 179

Step 2: Find the prime factorization of 3408

3408 = 2 x 2 x 2 x 2 x 3 x 71

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

LCM = 11590608 = 2 x 2 x 2 x 2 x 3 x 19 x 71 x 179

Step 4: Therefore, the least common multiple of 3401 and 3408 is 11590608.