Least Common Multiple of 3490 and 3498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3490 and 3498 the smallest integer that is 6104010 that is divisible by both numbers.

Least Common Multiple (LCM) of 3490 and 3498 is 6104010.

LCM(3490,3498) = 6104010

LCM of 3490 and 3498

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

LCM of:
and

Least Common Multiple of 3490 and 3498

LCM of 3490 and 3498 is 6104010

Least common multiple can be found by multiplying the highest exponent prime factors of 3490 and 3498. First we will calculate the prime factors of 3490 and 3498.

Prime Factorization of 3490


2 3490
5 1745
349 349
1

Prime factors of 3490 are 2, 5,349. Prime factorization of 3490 in exponential form is:

3490 = 21×51×3491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3490 and 3498.

LCM(3490,3498) = 21×31×51×111×531×3491
LCM(3490,3498) = 6104010

Factors of 3490

List of positive integer factors of 3490 that divides 3490 without a remainder.

1, 2, 5, 10, 349, 698, 1745, 3490

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

Least Common Multiple of 3490 and 3498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3490 and 3498, than apply into the LCM equation.

GCF(3490,3498) = 2
LCM(3490,3498) = ( 3490 × 3498) / 2
LCM(3490,3498) = 12208020 / 2
LCM(3490,3498) = 6104010

Properties of LCM 3490 and 3498

(i) The LCM of 3498 and 3490 is associative

LCM of 3490 and 3498 = LCM of 3498 and 3490

Related Least Common Multiples of 3490

Related Least Common Multiples of 3498

Frequently Asked Questions on LCM of 3490 and 3498

1. What is the LCM of 3490 and 3498?

Answer: LCM of 3490 and 3498 is 6104010.

2. What are the Factors of 3490?

Answer: Factors of 3490 are 1, 2, 5, 10, 349, 698, 1745, 3490. There are 8 integers that are factors of 3490. The greatest factor of 3490 is 3490.

3. 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.

4. How to Find the LCM of 3490 and 3498?

Answer:

Least Common Multiple of 3490 and 3498 = 6104010

Step 1: Find the prime factorization of 3490

3490 = 2 x 5 x 349

Step 2: Find the prime factorization of 3498

3498 = 2 x 3 x 11 x 53

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

LCM = 6104010 = 2 x 3 x 5 x 11 x 53 x 349

Step 4: Therefore, the least common multiple of 3490 and 3498 is 6104010.