Least Common Multiple of 3463 and 3471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3463 and 3471 the smallest integer that is 12020073 that is divisible by both numbers.

Least Common Multiple (LCM) of 3463 and 3471 is 12020073.

LCM(3463,3471) = 12020073

LCM of 3463 and 3471

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

LCM of:
and

Least Common Multiple of 3463 and 3471

LCM of 3463 and 3471 is 12020073

Least common multiple can be found by multiplying the highest exponent prime factors of 3463 and 3471. First we will calculate the prime factors of 3463 and 3471.

Prime Factorization of 3463


3463 3463
1

Prime factors of 3463 are 3463. Prime factorization of 3463 in exponential form is:

3463 = 34631

Prime Factorization of 3471


3 3471
13 1157
89 89
1

Prime factors of 3471 are 3, 13,89. Prime factorization of 3471 in exponential form is:

3471 = 31×131×891

Now multiplying the highest exponent prime factors to calculate the LCM of 3463 and 3471.

LCM(3463,3471) = 31×131×891×34631
LCM(3463,3471) = 12020073

Factors of 3463

List of positive integer factors of 3463 that divides 3463 without a remainder.

1, 3463

Factors of 3471

List of positive integer factors of 3471 that divides 3471 without a remainder.

1, 3, 13, 39, 89, 267, 1157, 3471

Least Common Multiple of 3463 and 3471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3463 and 3471, than apply into the LCM equation.

GCF(3463,3471) = 1
LCM(3463,3471) = ( 3463 × 3471) / 1
LCM(3463,3471) = 12020073 / 1
LCM(3463,3471) = 12020073

Properties of LCM 3463 and 3471

(i) The LCM of 3471 and 3463 is associative

LCM of 3463 and 3471 = LCM of 3471 and 3463

Related Least Common Multiples of 3463

Related Least Common Multiples of 3471

Frequently Asked Questions on LCM of 3463 and 3471

1. What is the LCM of 3463 and 3471?

Answer: LCM of 3463 and 3471 is 12020073.

2. What are the Factors of 3463?

Answer: Factors of 3463 are 1, 3463. There are 2 integers that are factors of 3463. The greatest factor of 3463 is 3463.

3. What are the Factors of 3471?

Answer: Factors of 3471 are 1, 3, 13, 39, 89, 267, 1157, 3471. There are 8 integers that are factors of 3471. The greatest factor of 3471 is 3471.

4. How to Find the LCM of 3463 and 3471?

Answer:

Least Common Multiple of 3463 and 3471 = 12020073

Step 1: Find the prime factorization of 3463

3463 = 3463

Step 2: Find the prime factorization of 3471

3471 = 3 x 13 x 89

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

LCM = 12020073 = 3 x 13 x 89 x 3463

Step 4: Therefore, the least common multiple of 3463 and 3471 is 12020073.