Least Common Multiple of 3498 and 3505

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 3505 the smallest integer that is 12260490 that is divisible by both numbers.

Least Common Multiple (LCM) of 3498 and 3505 is 12260490.

LCM(3498,3505) = 12260490

LCM of 3498 and 3505

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

LCM of:
and

Least Common Multiple of 3498 and 3505

LCM of 3498 and 3505 is 12260490

Least common multiple can be found by multiplying the highest exponent prime factors of 3498 and 3505. First we will calculate the prime factors of 3498 and 3505.

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 3505


5 3505
701 701
1

Prime factors of 3505 are 5,701. Prime factorization of 3505 in exponential form is:

3505 = 51×7011

Now multiplying the highest exponent prime factors to calculate the LCM of 3498 and 3505.

LCM(3498,3505) = 21×31×51×111×531×7011
LCM(3498,3505) = 12260490

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 3505

List of positive integer factors of 3505 that divides 3505 without a remainder.

1, 5, 701, 3505

Least Common Multiple of 3498 and 3505 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 3505, than apply into the LCM equation.

GCF(3498,3505) = 1
LCM(3498,3505) = ( 3498 × 3505) / 1
LCM(3498,3505) = 12260490 / 1
LCM(3498,3505) = 12260490

Properties of LCM 3498 and 3505

(i) The LCM of 3505 and 3498 is associative

LCM of 3498 and 3505 = LCM of 3505 and 3498

Related Least Common Multiples of 3498

Related Least Common Multiples of 3505

Frequently Asked Questions on LCM of 3498 and 3505

1. What is the LCM of 3498 and 3505?

Answer: LCM of 3498 and 3505 is 12260490.

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 3505?

Answer: Factors of 3505 are 1, 5, 701, 3505. There are 4 integers that are factors of 3505. The greatest factor of 3505 is 3505.

4. How to Find the LCM of 3498 and 3505?

Answer:

Least Common Multiple of 3498 and 3505 = 12260490

Step 1: Find the prime factorization of 3498

3498 = 2 x 3 x 11 x 53

Step 2: Find the prime factorization of 3505

3505 = 5 x 701

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

LCM = 12260490 = 2 x 3 x 5 x 11 x 53 x 701

Step 4: Therefore, the least common multiple of 3498 and 3505 is 12260490.