Least Common Multiple of 3475 and 3482

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 3482 the smallest integer that is 12099950 that is divisible by both numbers.

Least Common Multiple (LCM) of 3475 and 3482 is 12099950.

LCM(3475,3482) = 12099950

LCM of 3475 and 3482

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

LCM of:
and

Least Common Multiple of 3475 and 3482

LCM of 3475 and 3482 is 12099950

Least common multiple can be found by multiplying the highest exponent prime factors of 3475 and 3482. First we will calculate the prime factors of 3475 and 3482.

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 3482


2 3482
1741 1741
1

Prime factors of 3482 are 2,1741. Prime factorization of 3482 in exponential form is:

3482 = 21×17411

Now multiplying the highest exponent prime factors to calculate the LCM of 3475 and 3482.

LCM(3475,3482) = 21×52×1391×17411
LCM(3475,3482) = 12099950

Factors of 3475

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

1, 5, 25, 139, 695, 3475

Factors of 3482

List of positive integer factors of 3482 that divides 3482 without a remainder.

1, 2, 1741, 3482

Least Common Multiple of 3475 and 3482 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 3482, than apply into the LCM equation.

GCF(3475,3482) = 1
LCM(3475,3482) = ( 3475 × 3482) / 1
LCM(3475,3482) = 12099950 / 1
LCM(3475,3482) = 12099950

Properties of LCM 3475 and 3482

(i) The LCM of 3482 and 3475 is associative

LCM of 3475 and 3482 = LCM of 3482 and 3475

Related Least Common Multiples of 3475

Related Least Common Multiples of 3482

Frequently Asked Questions on LCM of 3475 and 3482

1. What is the LCM of 3475 and 3482?

Answer: LCM of 3475 and 3482 is 12099950.

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 3482?

Answer: Factors of 3482 are 1, 2, 1741, 3482. There are 4 integers that are factors of 3482. The greatest factor of 3482 is 3482.

4. How to Find the LCM of 3475 and 3482?

Answer:

Least Common Multiple of 3475 and 3482 = 12099950

Step 1: Find the prime factorization of 3475

3475 = 5 x 5 x 139

Step 2: Find the prime factorization of 3482

3482 = 2 x 1741

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

LCM = 12099950 = 2 x 5 x 5 x 139 x 1741

Step 4: Therefore, the least common multiple of 3475 and 3482 is 12099950.