Least Common Multiple of 3499 and 3503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3499 and 3503 the smallest integer that is 12256997 that is divisible by both numbers.

Least Common Multiple (LCM) of 3499 and 3503 is 12256997.

LCM(3499,3503) = 12256997

LCM of 3499 and 3503

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

LCM of:
and

Least Common Multiple of 3499 and 3503

LCM of 3499 and 3503 is 12256997

Least common multiple can be found by multiplying the highest exponent prime factors of 3499 and 3503. First we will calculate the prime factors of 3499 and 3503.

Prime Factorization of 3499


3499 3499
1

Prime factors of 3499 are 3499. Prime factorization of 3499 in exponential form is:

3499 = 34991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3499 and 3503.

LCM(3499,3503) = 311×1131×34991
LCM(3499,3503) = 12256997

Factors of 3499

List of positive integer factors of 3499 that divides 3499 without a remainder.

1, 3499

Factors of 3503

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

1, 31, 113, 3503

Least Common Multiple of 3499 and 3503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3499 and 3503, than apply into the LCM equation.

GCF(3499,3503) = 1
LCM(3499,3503) = ( 3499 × 3503) / 1
LCM(3499,3503) = 12256997 / 1
LCM(3499,3503) = 12256997

Properties of LCM 3499 and 3503

(i) The LCM of 3503 and 3499 is associative

LCM of 3499 and 3503 = LCM of 3503 and 3499

Related Least Common Multiples of 3499

Related Least Common Multiples of 3503

Frequently Asked Questions on LCM of 3499 and 3503

1. What is the LCM of 3499 and 3503?

Answer: LCM of 3499 and 3503 is 12256997.

2. What are the Factors of 3499?

Answer: Factors of 3499 are 1, 3499. There are 2 integers that are factors of 3499. The greatest factor of 3499 is 3499.

3. 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.

4. How to Find the LCM of 3499 and 3503?

Answer:

Least Common Multiple of 3499 and 3503 = 12256997

Step 1: Find the prime factorization of 3499

3499 = 3499

Step 2: Find the prime factorization of 3503

3503 = 31 x 113

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

LCM = 12256997 = 31 x 113 x 3499

Step 4: Therefore, the least common multiple of 3499 and 3503 is 12256997.