Least Common Multiple of 3503 and 3506

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 3506 the smallest integer that is 12281518 that is divisible by both numbers.

Least Common Multiple (LCM) of 3503 and 3506 is 12281518.

LCM(3503,3506) = 12281518

LCM of 3503 and 3506

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

LCM of:
and

Least Common Multiple of 3503 and 3506

LCM of 3503 and 3506 is 12281518

Least common multiple can be found by multiplying the highest exponent prime factors of 3503 and 3506. First we will calculate the prime factors of 3503 and 3506.

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 3506


2 3506
1753 1753
1

Prime factors of 3506 are 2,1753. Prime factorization of 3506 in exponential form is:

3506 = 21×17531

Now multiplying the highest exponent prime factors to calculate the LCM of 3503 and 3506.

LCM(3503,3506) = 21×311×1131×17531
LCM(3503,3506) = 12281518

Factors of 3503

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

1, 31, 113, 3503

Factors of 3506

List of positive integer factors of 3506 that divides 3506 without a remainder.

1, 2, 1753, 3506

Least Common Multiple of 3503 and 3506 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 3506, than apply into the LCM equation.

GCF(3503,3506) = 1
LCM(3503,3506) = ( 3503 × 3506) / 1
LCM(3503,3506) = 12281518 / 1
LCM(3503,3506) = 12281518

Properties of LCM 3503 and 3506

(i) The LCM of 3506 and 3503 is associative

LCM of 3503 and 3506 = LCM of 3506 and 3503

Related Least Common Multiples of 3503

Related Least Common Multiples of 3506

Frequently Asked Questions on LCM of 3503 and 3506

1. What is the LCM of 3503 and 3506?

Answer: LCM of 3503 and 3506 is 12281518.

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 3506?

Answer: Factors of 3506 are 1, 2, 1753, 3506. There are 4 integers that are factors of 3506. The greatest factor of 3506 is 3506.

4. How to Find the LCM of 3503 and 3506?

Answer:

Least Common Multiple of 3503 and 3506 = 12281518

Step 1: Find the prime factorization of 3503

3503 = 31 x 113

Step 2: Find the prime factorization of 3506

3506 = 2 x 1753

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

LCM = 12281518 = 2 x 31 x 113 x 1753

Step 4: Therefore, the least common multiple of 3503 and 3506 is 12281518.