Least Common Multiple of 3452 and 3459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3452 and 3459 the smallest integer that is 11940468 that is divisible by both numbers.

Least Common Multiple (LCM) of 3452 and 3459 is 11940468.

LCM(3452,3459) = 11940468

LCM of 3452 and 3459

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

LCM of:
and

Least Common Multiple of 3452 and 3459

LCM of 3452 and 3459 is 11940468

Least common multiple can be found by multiplying the highest exponent prime factors of 3452 and 3459. First we will calculate the prime factors of 3452 and 3459.

Prime Factorization of 3452


2 3452
2 1726
863 863
1

Prime factors of 3452 are 2,863. Prime factorization of 3452 in exponential form is:

3452 = 22×8631

Prime Factorization of 3459


3 3459
1153 1153
1

Prime factors of 3459 are 3,1153. Prime factorization of 3459 in exponential form is:

3459 = 31×11531

Now multiplying the highest exponent prime factors to calculate the LCM of 3452 and 3459.

LCM(3452,3459) = 22×31×8631×11531
LCM(3452,3459) = 11940468

Factors of 3452

List of positive integer factors of 3452 that divides 3452 without a remainder.

1, 2, 4, 863, 1726, 3452

Factors of 3459

List of positive integer factors of 3459 that divides 3459 without a remainder.

1, 3, 1153, 3459

Least Common Multiple of 3452 and 3459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3452 and 3459, than apply into the LCM equation.

GCF(3452,3459) = 1
LCM(3452,3459) = ( 3452 × 3459) / 1
LCM(3452,3459) = 11940468 / 1
LCM(3452,3459) = 11940468

Properties of LCM 3452 and 3459

(i) The LCM of 3459 and 3452 is associative

LCM of 3452 and 3459 = LCM of 3459 and 3452

Related Least Common Multiples of 3452

Related Least Common Multiples of 3459

Frequently Asked Questions on LCM of 3452 and 3459

1. What is the LCM of 3452 and 3459?

Answer: LCM of 3452 and 3459 is 11940468.

2. What are the Factors of 3452?

Answer: Factors of 3452 are 1, 2, 4, 863, 1726, 3452. There are 6 integers that are factors of 3452. The greatest factor of 3452 is 3452.

3. What are the Factors of 3459?

Answer: Factors of 3459 are 1, 3, 1153, 3459. There are 4 integers that are factors of 3459. The greatest factor of 3459 is 3459.

4. How to Find the LCM of 3452 and 3459?

Answer:

Least Common Multiple of 3452 and 3459 = 11940468

Step 1: Find the prime factorization of 3452

3452 = 2 x 2 x 863

Step 2: Find the prime factorization of 3459

3459 = 3 x 1153

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

LCM = 11940468 = 2 x 2 x 3 x 863 x 1153

Step 4: Therefore, the least common multiple of 3452 and 3459 is 11940468.