Least Common Multiple of 3445 and 3451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3445 and 3451 the smallest integer that is 11888695 that is divisible by both numbers.

Least Common Multiple (LCM) of 3445 and 3451 is 11888695.

LCM(3445,3451) = 11888695

LCM of 3445 and 3451

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

LCM of:
and

Least Common Multiple of 3445 and 3451

LCM of 3445 and 3451 is 11888695

Least common multiple can be found by multiplying the highest exponent prime factors of 3445 and 3451. First we will calculate the prime factors of 3445 and 3451.

Prime Factorization of 3445


5 3445
13 689
53 53
1

Prime factors of 3445 are 5, 13,53. Prime factorization of 3445 in exponential form is:

3445 = 51×131×531

Prime Factorization of 3451


7 3451
17 493
29 29
1

Prime factors of 3451 are 7, 17,29. Prime factorization of 3451 in exponential form is:

3451 = 71×171×291

Now multiplying the highest exponent prime factors to calculate the LCM of 3445 and 3451.

LCM(3445,3451) = 51×71×131×171×291×531
LCM(3445,3451) = 11888695

Factors of 3445

List of positive integer factors of 3445 that divides 3445 without a remainder.

1, 5, 13, 53, 65, 265, 689, 3445

Factors of 3451

List of positive integer factors of 3451 that divides 3451 without a remainder.

1, 7, 17, 29, 119, 203, 493, 3451

Least Common Multiple of 3445 and 3451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3445 and 3451, than apply into the LCM equation.

GCF(3445,3451) = 1
LCM(3445,3451) = ( 3445 × 3451) / 1
LCM(3445,3451) = 11888695 / 1
LCM(3445,3451) = 11888695

Properties of LCM 3445 and 3451

(i) The LCM of 3451 and 3445 is associative

LCM of 3445 and 3451 = LCM of 3451 and 3445

Related Least Common Multiples of 3445

Related Least Common Multiples of 3451

Frequently Asked Questions on LCM of 3445 and 3451

1. What is the LCM of 3445 and 3451?

Answer: LCM of 3445 and 3451 is 11888695.

2. What are the Factors of 3445?

Answer: Factors of 3445 are 1, 5, 13, 53, 65, 265, 689, 3445. There are 8 integers that are factors of 3445. The greatest factor of 3445 is 3445.

3. What are the Factors of 3451?

Answer: Factors of 3451 are 1, 7, 17, 29, 119, 203, 493, 3451. There are 8 integers that are factors of 3451. The greatest factor of 3451 is 3451.

4. How to Find the LCM of 3445 and 3451?

Answer:

Least Common Multiple of 3445 and 3451 = 11888695

Step 1: Find the prime factorization of 3445

3445 = 5 x 13 x 53

Step 2: Find the prime factorization of 3451

3451 = 7 x 17 x 29

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

LCM = 11888695 = 5 x 7 x 13 x 17 x 29 x 53

Step 4: Therefore, the least common multiple of 3445 and 3451 is 11888695.