Least Common Multiple of 3437 and 3445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3437 and 3445 the smallest integer that is 11840465 that is divisible by both numbers.

Least Common Multiple (LCM) of 3437 and 3445 is 11840465.

LCM(3437,3445) = 11840465

LCM of 3437 and 3445

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

LCM of:
and

Least Common Multiple of 3437 and 3445

LCM of 3437 and 3445 is 11840465

Least common multiple can be found by multiplying the highest exponent prime factors of 3437 and 3445. First we will calculate the prime factors of 3437 and 3445.

Prime Factorization of 3437


7 3437
491 491
1

Prime factors of 3437 are 7,491. Prime factorization of 3437 in exponential form is:

3437 = 71×4911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3437 and 3445.

LCM(3437,3445) = 51×71×131×531×4911
LCM(3437,3445) = 11840465

Factors of 3437

List of positive integer factors of 3437 that divides 3437 without a remainder.

1, 7, 491, 3437

Factors of 3445

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

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

Least Common Multiple of 3437 and 3445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3437 and 3445, than apply into the LCM equation.

GCF(3437,3445) = 1
LCM(3437,3445) = ( 3437 × 3445) / 1
LCM(3437,3445) = 11840465 / 1
LCM(3437,3445) = 11840465

Properties of LCM 3437 and 3445

(i) The LCM of 3445 and 3437 is associative

LCM of 3437 and 3445 = LCM of 3445 and 3437

Related Least Common Multiples of 3437

Related Least Common Multiples of 3445

Frequently Asked Questions on LCM of 3437 and 3445

1. What is the LCM of 3437 and 3445?

Answer: LCM of 3437 and 3445 is 11840465.

2. What are the Factors of 3437?

Answer: Factors of 3437 are 1, 7, 491, 3437. There are 4 integers that are factors of 3437. The greatest factor of 3437 is 3437.

3. 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.

4. How to Find the LCM of 3437 and 3445?

Answer:

Least Common Multiple of 3437 and 3445 = 11840465

Step 1: Find the prime factorization of 3437

3437 = 7 x 491

Step 2: Find the prime factorization of 3445

3445 = 5 x 13 x 53

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

LCM = 11840465 = 5 x 7 x 13 x 53 x 491

Step 4: Therefore, the least common multiple of 3437 and 3445 is 11840465.