Least Common Multiple of 3452 and 3455

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 3455 the smallest integer that is 11926660 that is divisible by both numbers.

Least Common Multiple (LCM) of 3452 and 3455 is 11926660.

LCM(3452,3455) = 11926660

LCM of 3452 and 3455

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

LCM of:
and

Least Common Multiple of 3452 and 3455

LCM of 3452 and 3455 is 11926660

Least common multiple can be found by multiplying the highest exponent prime factors of 3452 and 3455. First we will calculate the prime factors of 3452 and 3455.

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 3455


5 3455
691 691
1

Prime factors of 3455 are 5,691. Prime factorization of 3455 in exponential form is:

3455 = 51×6911

Now multiplying the highest exponent prime factors to calculate the LCM of 3452 and 3455.

LCM(3452,3455) = 22×51×6911×8631
LCM(3452,3455) = 11926660

Factors of 3452

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

1, 2, 4, 863, 1726, 3452

Factors of 3455

List of positive integer factors of 3455 that divides 3455 without a remainder.

1, 5, 691, 3455

Least Common Multiple of 3452 and 3455 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 3455, than apply into the LCM equation.

GCF(3452,3455) = 1
LCM(3452,3455) = ( 3452 × 3455) / 1
LCM(3452,3455) = 11926660 / 1
LCM(3452,3455) = 11926660

Properties of LCM 3452 and 3455

(i) The LCM of 3455 and 3452 is associative

LCM of 3452 and 3455 = LCM of 3455 and 3452

Related Least Common Multiples of 3452

Related Least Common Multiples of 3455

Frequently Asked Questions on LCM of 3452 and 3455

1. What is the LCM of 3452 and 3455?

Answer: LCM of 3452 and 3455 is 11926660.

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 3455?

Answer: Factors of 3455 are 1, 5, 691, 3455. There are 4 integers that are factors of 3455. The greatest factor of 3455 is 3455.

4. How to Find the LCM of 3452 and 3455?

Answer:

Least Common Multiple of 3452 and 3455 = 11926660

Step 1: Find the prime factorization of 3452

3452 = 2 x 2 x 863

Step 2: Find the prime factorization of 3455

3455 = 5 x 691

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

LCM = 11926660 = 2 x 2 x 5 x 691 x 863

Step 4: Therefore, the least common multiple of 3452 and 3455 is 11926660.