Least Common Multiple of 3447 and 3453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3447 and 3453 the smallest integer that is 3967497 that is divisible by both numbers.

Least Common Multiple (LCM) of 3447 and 3453 is 3967497.

LCM(3447,3453) = 3967497

LCM of 3447 and 3453

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

LCM of:
and

Least Common Multiple of 3447 and 3453

LCM of 3447 and 3453 is 3967497

Least common multiple can be found by multiplying the highest exponent prime factors of 3447 and 3453. First we will calculate the prime factors of 3447 and 3453.

Prime Factorization of 3447


3 3447
3 1149
383 383
1

Prime factors of 3447 are 3,383. Prime factorization of 3447 in exponential form is:

3447 = 32×3831

Prime Factorization of 3453


3 3453
1151 1151
1

Prime factors of 3453 are 3,1151. Prime factorization of 3453 in exponential form is:

3453 = 31×11511

Now multiplying the highest exponent prime factors to calculate the LCM of 3447 and 3453.

LCM(3447,3453) = 32×3831×11511
LCM(3447,3453) = 3967497

Factors of 3447

List of positive integer factors of 3447 that divides 3447 without a remainder.

1, 3, 9, 383, 1149, 3447

Factors of 3453

List of positive integer factors of 3453 that divides 3453 without a remainder.

1, 3, 1151, 3453

Least Common Multiple of 3447 and 3453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3447 and 3453, than apply into the LCM equation.

GCF(3447,3453) = 3
LCM(3447,3453) = ( 3447 × 3453) / 3
LCM(3447,3453) = 11902491 / 3
LCM(3447,3453) = 3967497

Properties of LCM 3447 and 3453

(i) The LCM of 3453 and 3447 is associative

LCM of 3447 and 3453 = LCM of 3453 and 3447

Related Least Common Multiples of 3447

Related Least Common Multiples of 3453

Frequently Asked Questions on LCM of 3447 and 3453

1. What is the LCM of 3447 and 3453?

Answer: LCM of 3447 and 3453 is 3967497.

2. What are the Factors of 3447?

Answer: Factors of 3447 are 1, 3, 9, 383, 1149, 3447. There are 6 integers that are factors of 3447. The greatest factor of 3447 is 3447.

3. What are the Factors of 3453?

Answer: Factors of 3453 are 1, 3, 1151, 3453. There are 4 integers that are factors of 3453. The greatest factor of 3453 is 3453.

4. How to Find the LCM of 3447 and 3453?

Answer:

Least Common Multiple of 3447 and 3453 = 3967497

Step 1: Find the prime factorization of 3447

3447 = 3 x 3 x 383

Step 2: Find the prime factorization of 3453

3453 = 3 x 1151

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

LCM = 3967497 = 3 x 3 x 383 x 1151

Step 4: Therefore, the least common multiple of 3447 and 3453 is 3967497.