Least Common Multiple of 3489 and 3494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3489 and 3494 the smallest integer that is 12190566 that is divisible by both numbers.

Least Common Multiple (LCM) of 3489 and 3494 is 12190566.

LCM(3489,3494) = 12190566

LCM of 3489 and 3494

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

LCM of:
and

Least Common Multiple of 3489 and 3494

LCM of 3489 and 3494 is 12190566

Least common multiple can be found by multiplying the highest exponent prime factors of 3489 and 3494. First we will calculate the prime factors of 3489 and 3494.

Prime Factorization of 3489


3 3489
1163 1163
1

Prime factors of 3489 are 3,1163. Prime factorization of 3489 in exponential form is:

3489 = 31×11631

Prime Factorization of 3494


2 3494
1747 1747
1

Prime factors of 3494 are 2,1747. Prime factorization of 3494 in exponential form is:

3494 = 21×17471

Now multiplying the highest exponent prime factors to calculate the LCM of 3489 and 3494.

LCM(3489,3494) = 21×31×11631×17471
LCM(3489,3494) = 12190566

Factors of 3489

List of positive integer factors of 3489 that divides 3489 without a remainder.

1, 3, 1163, 3489

Factors of 3494

List of positive integer factors of 3494 that divides 3494 without a remainder.

1, 2, 1747, 3494

Least Common Multiple of 3489 and 3494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3489 and 3494, than apply into the LCM equation.

GCF(3489,3494) = 1
LCM(3489,3494) = ( 3489 × 3494) / 1
LCM(3489,3494) = 12190566 / 1
LCM(3489,3494) = 12190566

Properties of LCM 3489 and 3494

(i) The LCM of 3494 and 3489 is associative

LCM of 3489 and 3494 = LCM of 3494 and 3489

Related Least Common Multiples of 3489

Related Least Common Multiples of 3494

Frequently Asked Questions on LCM of 3489 and 3494

1. What is the LCM of 3489 and 3494?

Answer: LCM of 3489 and 3494 is 12190566.

2. What are the Factors of 3489?

Answer: Factors of 3489 are 1, 3, 1163, 3489. There are 4 integers that are factors of 3489. The greatest factor of 3489 is 3489.

3. What are the Factors of 3494?

Answer: Factors of 3494 are 1, 2, 1747, 3494. There are 4 integers that are factors of 3494. The greatest factor of 3494 is 3494.

4. How to Find the LCM of 3489 and 3494?

Answer:

Least Common Multiple of 3489 and 3494 = 12190566

Step 1: Find the prime factorization of 3489

3489 = 3 x 1163

Step 2: Find the prime factorization of 3494

3494 = 2 x 1747

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

LCM = 12190566 = 2 x 3 x 1163 x 1747

Step 4: Therefore, the least common multiple of 3489 and 3494 is 12190566.