Least Common Multiple of 3473 and 3475

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3473 and 3475 the smallest integer that is 12068675 that is divisible by both numbers.

Least Common Multiple (LCM) of 3473 and 3475 is 12068675.

LCM(3473,3475) = 12068675

LCM of 3473 and 3475

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

LCM of:
and

Least Common Multiple of 3473 and 3475

LCM of 3473 and 3475 is 12068675

Least common multiple can be found by multiplying the highest exponent prime factors of 3473 and 3475. First we will calculate the prime factors of 3473 and 3475.

Prime Factorization of 3473


23 3473
151 151
1

Prime factors of 3473 are 23,151. Prime factorization of 3473 in exponential form is:

3473 = 231×1511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3473 and 3475.

LCM(3473,3475) = 52×231×1391×1511
LCM(3473,3475) = 12068675

Factors of 3473

List of positive integer factors of 3473 that divides 3473 without a remainder.

1, 23, 151, 3473

Factors of 3475

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

1, 5, 25, 139, 695, 3475

Least Common Multiple of 3473 and 3475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3473 and 3475, than apply into the LCM equation.

GCF(3473,3475) = 1
LCM(3473,3475) = ( 3473 × 3475) / 1
LCM(3473,3475) = 12068675 / 1
LCM(3473,3475) = 12068675

Properties of LCM 3473 and 3475

(i) The LCM of 3475 and 3473 is associative

LCM of 3473 and 3475 = LCM of 3475 and 3473

Related Least Common Multiples of 3473

Related Least Common Multiples of 3475

Frequently Asked Questions on LCM of 3473 and 3475

1. What is the LCM of 3473 and 3475?

Answer: LCM of 3473 and 3475 is 12068675.

2. What are the Factors of 3473?

Answer: Factors of 3473 are 1, 23, 151, 3473. There are 4 integers that are factors of 3473. The greatest factor of 3473 is 3473.

3. 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.

4. How to Find the LCM of 3473 and 3475?

Answer:

Least Common Multiple of 3473 and 3475 = 12068675

Step 1: Find the prime factorization of 3473

3473 = 23 x 151

Step 2: Find the prime factorization of 3475

3475 = 5 x 5 x 139

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

LCM = 12068675 = 5 x 5 x 23 x 139 x 151

Step 4: Therefore, the least common multiple of 3473 and 3475 is 12068675.