Least Common Multiple of 3437 and 3444

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 3444 the smallest integer that is 1691004 that is divisible by both numbers.

Least Common Multiple (LCM) of 3437 and 3444 is 1691004.

LCM(3437,3444) = 1691004

LCM of 3437 and 3444

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

LCM of:
and

Least Common Multiple of 3437 and 3444

LCM of 3437 and 3444 is 1691004

Least common multiple can be found by multiplying the highest exponent prime factors of 3437 and 3444. First we will calculate the prime factors of 3437 and 3444.

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 3444


2 3444
2 1722
3 861
7 287
41 41
1

Prime factors of 3444 are 2, 3, 7,41. Prime factorization of 3444 in exponential form is:

3444 = 22×31×71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3437 and 3444.

LCM(3437,3444) = 22×31×71×411×4911
LCM(3437,3444) = 1691004

Factors of 3437

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

1, 7, 491, 3437

Factors of 3444

List of positive integer factors of 3444 that divides 3444 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722, 3444

Least Common Multiple of 3437 and 3444 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 3444, than apply into the LCM equation.

GCF(3437,3444) = 7
LCM(3437,3444) = ( 3437 × 3444) / 7
LCM(3437,3444) = 11837028 / 7
LCM(3437,3444) = 1691004

Properties of LCM 3437 and 3444

(i) The LCM of 3444 and 3437 is associative

LCM of 3437 and 3444 = LCM of 3444 and 3437

Related Least Common Multiples of 3437

Related Least Common Multiples of 3444

Frequently Asked Questions on LCM of 3437 and 3444

1. What is the LCM of 3437 and 3444?

Answer: LCM of 3437 and 3444 is 1691004.

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 3444?

Answer: Factors of 3444 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722, 3444. There are 24 integers that are factors of 3444. The greatest factor of 3444 is 3444.

4. How to Find the LCM of 3437 and 3444?

Answer:

Least Common Multiple of 3437 and 3444 = 1691004

Step 1: Find the prime factorization of 3437

3437 = 7 x 491

Step 2: Find the prime factorization of 3444

3444 = 2 x 2 x 3 x 7 x 41

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

LCM = 1691004 = 2 x 2 x 3 x 7 x 41 x 491

Step 4: Therefore, the least common multiple of 3437 and 3444 is 1691004.