Least Common Multiple of 3498 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 3498 and 3503 the smallest integer that is 12253494 that is divisible by both numbers.

Least Common Multiple (LCM) of 3498 and 3503 is 12253494.

LCM(3498,3503) = 12253494

LCM of 3498 and 3503

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

LCM of:
and

Least Common Multiple of 3498 and 3503

LCM of 3498 and 3503 is 12253494

Least common multiple can be found by multiplying the highest exponent prime factors of 3498 and 3503. First we will calculate the prime factors of 3498 and 3503.

Prime Factorization of 3498


2 3498
3 1749
11 583
53 53
1

Prime factors of 3498 are 2, 3, 11,53. Prime factorization of 3498 in exponential form is:

3498 = 21×31×111×531

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 3498 and 3503.

LCM(3498,3503) = 21×31×111×311×531×1131
LCM(3498,3503) = 12253494

Factors of 3498

List of positive integer factors of 3498 that divides 3498 without a remainder.

1, 2, 3, 6, 11, 22, 33, 53, 66, 106, 159, 318, 583, 1166, 1749, 3498

Factors of 3503

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

1, 31, 113, 3503

Least Common Multiple of 3498 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 3498 and 3503, than apply into the LCM equation.

GCF(3498,3503) = 1
LCM(3498,3503) = ( 3498 × 3503) / 1
LCM(3498,3503) = 12253494 / 1
LCM(3498,3503) = 12253494

Properties of LCM 3498 and 3503

(i) The LCM of 3503 and 3498 is associative

LCM of 3498 and 3503 = LCM of 3503 and 3498

Related Least Common Multiples of 3498

Related Least Common Multiples of 3503

Frequently Asked Questions on LCM of 3498 and 3503

1. What is the LCM of 3498 and 3503?

Answer: LCM of 3498 and 3503 is 12253494.

2. What are the Factors of 3498?

Answer: Factors of 3498 are 1, 2, 3, 6, 11, 22, 33, 53, 66, 106, 159, 318, 583, 1166, 1749, 3498. There are 16 integers that are factors of 3498. The greatest factor of 3498 is 3498.

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 3498 and 3503?

Answer:

Least Common Multiple of 3498 and 3503 = 12253494

Step 1: Find the prime factorization of 3498

3498 = 2 x 3 x 11 x 53

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 = 12253494 = 2 x 3 x 11 x 31 x 53 x 113

Step 4: Therefore, the least common multiple of 3498 and 3503 is 12253494.