Least Common Multiple of 3493 and 3501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3493 and 3501 the smallest integer that is 12228993 that is divisible by both numbers.

Least Common Multiple (LCM) of 3493 and 3501 is 12228993.

LCM(3493,3501) = 12228993

LCM of 3493 and 3501

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

LCM of:
and

Least Common Multiple of 3493 and 3501

LCM of 3493 and 3501 is 12228993

Least common multiple can be found by multiplying the highest exponent prime factors of 3493 and 3501. First we will calculate the prime factors of 3493 and 3501.

Prime Factorization of 3493


7 3493
499 499
1

Prime factors of 3493 are 7,499. Prime factorization of 3493 in exponential form is:

3493 = 71×4991

Prime Factorization of 3501


3 3501
3 1167
389 389
1

Prime factors of 3501 are 3,389. Prime factorization of 3501 in exponential form is:

3501 = 32×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 3493 and 3501.

LCM(3493,3501) = 32×71×3891×4991
LCM(3493,3501) = 12228993

Factors of 3493

List of positive integer factors of 3493 that divides 3493 without a remainder.

1, 7, 499, 3493

Factors of 3501

List of positive integer factors of 3501 that divides 3501 without a remainder.

1, 3, 9, 389, 1167, 3501

Least Common Multiple of 3493 and 3501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3493 and 3501, than apply into the LCM equation.

GCF(3493,3501) = 1
LCM(3493,3501) = ( 3493 × 3501) / 1
LCM(3493,3501) = 12228993 / 1
LCM(3493,3501) = 12228993

Properties of LCM 3493 and 3501

(i) The LCM of 3501 and 3493 is associative

LCM of 3493 and 3501 = LCM of 3501 and 3493

Related Least Common Multiples of 3493

Related Least Common Multiples of 3501

Frequently Asked Questions on LCM of 3493 and 3501

1. What is the LCM of 3493 and 3501?

Answer: LCM of 3493 and 3501 is 12228993.

2. What are the Factors of 3493?

Answer: Factors of 3493 are 1, 7, 499, 3493. There are 4 integers that are factors of 3493. The greatest factor of 3493 is 3493.

3. What are the Factors of 3501?

Answer: Factors of 3501 are 1, 3, 9, 389, 1167, 3501. There are 6 integers that are factors of 3501. The greatest factor of 3501 is 3501.

4. How to Find the LCM of 3493 and 3501?

Answer:

Least Common Multiple of 3493 and 3501 = 12228993

Step 1: Find the prime factorization of 3493

3493 = 7 x 499

Step 2: Find the prime factorization of 3501

3501 = 3 x 3 x 389

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

LCM = 12228993 = 3 x 3 x 7 x 389 x 499

Step 4: Therefore, the least common multiple of 3493 and 3501 is 12228993.