Least Common Multiple of 3475 and 3477

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 3477 the smallest integer that is 12082575 that is divisible by both numbers.

Least Common Multiple (LCM) of 3475 and 3477 is 12082575.

LCM(3475,3477) = 12082575

LCM of 3475 and 3477

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

LCM of:
and

Least Common Multiple of 3475 and 3477

LCM of 3475 and 3477 is 12082575

Least common multiple can be found by multiplying the highest exponent prime factors of 3475 and 3477. First we will calculate the prime factors of 3475 and 3477.

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 3477


3 3477
19 1159
61 61
1

Prime factors of 3477 are 3, 19,61. Prime factorization of 3477 in exponential form is:

3477 = 31×191×611

Now multiplying the highest exponent prime factors to calculate the LCM of 3475 and 3477.

LCM(3475,3477) = 31×52×191×611×1391
LCM(3475,3477) = 12082575

Factors of 3475

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

1, 5, 25, 139, 695, 3475

Factors of 3477

List of positive integer factors of 3477 that divides 3477 without a remainder.

1, 3, 19, 57, 61, 183, 1159, 3477

Least Common Multiple of 3475 and 3477 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 3477, than apply into the LCM equation.

GCF(3475,3477) = 1
LCM(3475,3477) = ( 3475 × 3477) / 1
LCM(3475,3477) = 12082575 / 1
LCM(3475,3477) = 12082575

Properties of LCM 3475 and 3477

(i) The LCM of 3477 and 3475 is associative

LCM of 3475 and 3477 = LCM of 3477 and 3475

Related Least Common Multiples of 3475

Related Least Common Multiples of 3477

Frequently Asked Questions on LCM of 3475 and 3477

1. What is the LCM of 3475 and 3477?

Answer: LCM of 3475 and 3477 is 12082575.

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 3477?

Answer: Factors of 3477 are 1, 3, 19, 57, 61, 183, 1159, 3477. There are 8 integers that are factors of 3477. The greatest factor of 3477 is 3477.

4. How to Find the LCM of 3475 and 3477?

Answer:

Least Common Multiple of 3475 and 3477 = 12082575

Step 1: Find the prime factorization of 3475

3475 = 5 x 5 x 139

Step 2: Find the prime factorization of 3477

3477 = 3 x 19 x 61

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

LCM = 12082575 = 3 x 5 x 5 x 19 x 61 x 139

Step 4: Therefore, the least common multiple of 3475 and 3477 is 12082575.