Least Common Multiple of 3475 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 3475 and 3476 the smallest integer that is 12079100 that is divisible by both numbers.

Least Common Multiple (LCM) of 3475 and 3476 is 12079100.

LCM(3475,3476) = 12079100

LCM of 3475 and 3476

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

LCM of:
and

Least Common Multiple of 3475 and 3476

LCM of 3475 and 3476 is 12079100

Least common multiple can be found by multiplying the highest exponent prime factors of 3475 and 3476. First we will calculate the prime factors of 3475 and 3476.

Prime Factorization of 3475


5 3475
5 695
139 139
1

Prime factors of 3475 are 5,139. Prime factorization of 3475 in exponential form is:

3475 = 52×1391

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 3475 and 3476.

LCM(3475,3476) = 22×52×111×791×1391
LCM(3475,3476) = 12079100

Factors of 3475

List of positive integer factors of 3475 that divides 3475 without a remainder.

1, 5, 25, 139, 695, 3475

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 3475 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 3475 and 3476, than apply into the LCM equation.

GCF(3475,3476) = 1
LCM(3475,3476) = ( 3475 × 3476) / 1
LCM(3475,3476) = 12079100 / 1
LCM(3475,3476) = 12079100

Properties of LCM 3475 and 3476

(i) The LCM of 3476 and 3475 is associative

LCM of 3475 and 3476 = LCM of 3476 and 3475

Related Least Common Multiples of 3475

Related Least Common Multiples of 3476

Frequently Asked Questions on LCM of 3475 and 3476

1. What is the LCM of 3475 and 3476?

Answer: LCM of 3475 and 3476 is 12079100.

2. What are the Factors of 3475?

Answer: Factors of 3475 are 1, 5, 25, 139, 695, 3475. There are 6 integers that are factors of 3475. The greatest factor of 3475 is 3475.

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 3475 and 3476?

Answer:

Least Common Multiple of 3475 and 3476 = 12079100

Step 1: Find the prime factorization of 3475

3475 = 5 x 5 x 139

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 = 12079100 = 2 x 2 x 5 x 5 x 11 x 79 x 139

Step 4: Therefore, the least common multiple of 3475 and 3476 is 12079100.