Least Common Multiple of 3503 and 3507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3503 and 3507 the smallest integer that is 12285021 that is divisible by both numbers.

Least Common Multiple (LCM) of 3503 and 3507 is 12285021.

LCM(3503,3507) = 12285021

LCM of 3503 and 3507

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

LCM of:
and

Least Common Multiple of 3503 and 3507

LCM of 3503 and 3507 is 12285021

Least common multiple can be found by multiplying the highest exponent prime factors of 3503 and 3507. First we will calculate the prime factors of 3503 and 3507.

Prime Factorization of 3503


31 3503
113 113
1

Prime factors of 3503 are 31,113. Prime factorization of 3503 in exponential form is:

3503 = 311×1131

Prime Factorization of 3507


3 3507
7 1169
167 167
1

Prime factors of 3507 are 3, 7,167. Prime factorization of 3507 in exponential form is:

3507 = 31×71×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 3503 and 3507.

LCM(3503,3507) = 31×71×311×1131×1671
LCM(3503,3507) = 12285021

Factors of 3503

List of positive integer factors of 3503 that divides 3503 without a remainder.

1, 31, 113, 3503

Factors of 3507

List of positive integer factors of 3507 that divides 3507 without a remainder.

1, 3, 7, 21, 167, 501, 1169, 3507

Least Common Multiple of 3503 and 3507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3503 and 3507, than apply into the LCM equation.

GCF(3503,3507) = 1
LCM(3503,3507) = ( 3503 × 3507) / 1
LCM(3503,3507) = 12285021 / 1
LCM(3503,3507) = 12285021

Properties of LCM 3503 and 3507

(i) The LCM of 3507 and 3503 is associative

LCM of 3503 and 3507 = LCM of 3507 and 3503

Related Least Common Multiples of 3503

Related Least Common Multiples of 3507

Frequently Asked Questions on LCM of 3503 and 3507

1. What is the LCM of 3503 and 3507?

Answer: LCM of 3503 and 3507 is 12285021.

2. What are the Factors of 3503?

Answer: Factors of 3503 are 1, 31, 113, 3503. There are 4 integers that are factors of 3503. The greatest factor of 3503 is 3503.

3. What are the Factors of 3507?

Answer: Factors of 3507 are 1, 3, 7, 21, 167, 501, 1169, 3507. There are 8 integers that are factors of 3507. The greatest factor of 3507 is 3507.

4. How to Find the LCM of 3503 and 3507?

Answer:

Least Common Multiple of 3503 and 3507 = 12285021

Step 1: Find the prime factorization of 3503

3503 = 31 x 113

Step 2: Find the prime factorization of 3507

3507 = 3 x 7 x 167

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

LCM = 12285021 = 3 x 7 x 31 x 113 x 167

Step 4: Therefore, the least common multiple of 3503 and 3507 is 12285021.