Least Common Multiple of 3471 and 3476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3471 and 3476 the smallest integer that is 12065196 that is divisible by both numbers.

Least Common Multiple (LCM) of 3471 and 3476 is 12065196.

LCM(3471,3476) = 12065196

LCM of 3471 and 3476

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

LCM of:
and

Least Common Multiple of 3471 and 3476

LCM of 3471 and 3476 is 12065196

Least common multiple can be found by multiplying the highest exponent prime factors of 3471 and 3476. First we will calculate the prime factors of 3471 and 3476.

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

Prime Factorization of 3476


2 3476
2 1738
11 869
79 79
1

Prime factors of 3476 are 2, 11,79. Prime factorization of 3476 in exponential form is:

3476 = 22×111×791

Now multiplying the highest exponent prime factors to calculate the LCM of 3471 and 3476.

LCM(3471,3476) = 22×31×111×131×791×891
LCM(3471,3476) = 12065196

Factors of 3471

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

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

Factors of 3476

List of positive integer factors of 3476 that divides 3476 without a remainder.

1, 2, 4, 11, 22, 44, 79, 158, 316, 869, 1738, 3476

Least Common Multiple of 3471 and 3476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3471 and 3476, than apply into the LCM equation.

GCF(3471,3476) = 1
LCM(3471,3476) = ( 3471 × 3476) / 1
LCM(3471,3476) = 12065196 / 1
LCM(3471,3476) = 12065196

Properties of LCM 3471 and 3476

(i) The LCM of 3476 and 3471 is associative

LCM of 3471 and 3476 = LCM of 3476 and 3471

Related Least Common Multiples of 3471

Related Least Common Multiples of 3476

Frequently Asked Questions on LCM of 3471 and 3476

1. What is the LCM of 3471 and 3476?

Answer: LCM of 3471 and 3476 is 12065196.

2. 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.

3. What are the Factors of 3476?

Answer: Factors of 3476 are 1, 2, 4, 11, 22, 44, 79, 158, 316, 869, 1738, 3476. There are 12 integers that are factors of 3476. The greatest factor of 3476 is 3476.

4. How to Find the LCM of 3471 and 3476?

Answer:

Least Common Multiple of 3471 and 3476 = 12065196

Step 1: Find the prime factorization of 3471

3471 = 3 x 13 x 89

Step 2: Find the prime factorization of 3476

3476 = 2 x 2 x 11 x 79

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

LCM = 12065196 = 2 x 2 x 3 x 11 x 13 x 79 x 89

Step 4: Therefore, the least common multiple of 3471 and 3476 is 12065196.