Least Common Multiple of 3483 and 3490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3483 and 3490 the smallest integer that is 12155670 that is divisible by both numbers.

Least Common Multiple (LCM) of 3483 and 3490 is 12155670.

LCM(3483,3490) = 12155670

LCM of 3483 and 3490

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

LCM of:
and

Least Common Multiple of 3483 and 3490

LCM of 3483 and 3490 is 12155670

Least common multiple can be found by multiplying the highest exponent prime factors of 3483 and 3490. First we will calculate the prime factors of 3483 and 3490.

Prime Factorization of 3483


3 3483
3 1161
3 387
3 129
43 43
1

Prime factors of 3483 are 3,43. Prime factorization of 3483 in exponential form is:

3483 = 34×431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3483 and 3490.

LCM(3483,3490) = 21×34×51×431×3491
LCM(3483,3490) = 12155670

Factors of 3483

List of positive integer factors of 3483 that divides 3483 without a remainder.

1, 3, 9, 27, 43, 81, 129, 387, 1161, 3483

Factors of 3490

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

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

Least Common Multiple of 3483 and 3490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3483 and 3490, than apply into the LCM equation.

GCF(3483,3490) = 1
LCM(3483,3490) = ( 3483 × 3490) / 1
LCM(3483,3490) = 12155670 / 1
LCM(3483,3490) = 12155670

Properties of LCM 3483 and 3490

(i) The LCM of 3490 and 3483 is associative

LCM of 3483 and 3490 = LCM of 3490 and 3483

Related Least Common Multiples of 3483

Related Least Common Multiples of 3490

Frequently Asked Questions on LCM of 3483 and 3490

1. What is the LCM of 3483 and 3490?

Answer: LCM of 3483 and 3490 is 12155670.

2. What are the Factors of 3483?

Answer: Factors of 3483 are 1, 3, 9, 27, 43, 81, 129, 387, 1161, 3483. There are 10 integers that are factors of 3483. The greatest factor of 3483 is 3483.

3. 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.

4. How to Find the LCM of 3483 and 3490?

Answer:

Least Common Multiple of 3483 and 3490 = 12155670

Step 1: Find the prime factorization of 3483

3483 = 3 x 3 x 3 x 3 x 43

Step 2: Find the prime factorization of 3490

3490 = 2 x 5 x 349

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

LCM = 12155670 = 2 x 3 x 3 x 3 x 3 x 5 x 43 x 349

Step 4: Therefore, the least common multiple of 3483 and 3490 is 12155670.