Least Common Multiple of 3475 and 3480

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 3480 the smallest integer that is 2418600 that is divisible by both numbers.

Least Common Multiple (LCM) of 3475 and 3480 is 2418600.

LCM(3475,3480) = 2418600

LCM of 3475 and 3480

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

LCM of:
and

Least Common Multiple of 3475 and 3480

LCM of 3475 and 3480 is 2418600

Least common multiple can be found by multiplying the highest exponent prime factors of 3475 and 3480. First we will calculate the prime factors of 3475 and 3480.

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 3480


2 3480
2 1740
2 870
3 435
5 145
29 29
1

Prime factors of 3480 are 2, 3, 5,29. Prime factorization of 3480 in exponential form is:

3480 = 23×31×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 3475 and 3480.

LCM(3475,3480) = 23×31×52×291×1391
LCM(3475,3480) = 2418600

Factors of 3475

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

1, 5, 25, 139, 695, 3475

Factors of 3480

List of positive integer factors of 3480 that divides 3480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58, 60, 87, 116, 120, 145, 174, 232, 290, 348, 435, 580, 696, 870, 1160, 1740, 3480

Least Common Multiple of 3475 and 3480 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 3480, than apply into the LCM equation.

GCF(3475,3480) = 5
LCM(3475,3480) = ( 3475 × 3480) / 5
LCM(3475,3480) = 12093000 / 5
LCM(3475,3480) = 2418600

Properties of LCM 3475 and 3480

(i) The LCM of 3480 and 3475 is associative

LCM of 3475 and 3480 = LCM of 3480 and 3475

Related Least Common Multiples of 3475

Related Least Common Multiples of 3480

Frequently Asked Questions on LCM of 3475 and 3480

1. What is the LCM of 3475 and 3480?

Answer: LCM of 3475 and 3480 is 2418600.

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 3480?

Answer: Factors of 3480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58, 60, 87, 116, 120, 145, 174, 232, 290, 348, 435, 580, 696, 870, 1160, 1740, 3480. There are 32 integers that are factors of 3480. The greatest factor of 3480 is 3480.

4. How to Find the LCM of 3475 and 3480?

Answer:

Least Common Multiple of 3475 and 3480 = 2418600

Step 1: Find the prime factorization of 3475

3475 = 5 x 5 x 139

Step 2: Find the prime factorization of 3480

3480 = 2 x 2 x 2 x 3 x 5 x 29

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

LCM = 2418600 = 2 x 2 x 2 x 3 x 5 x 5 x 29 x 139

Step 4: Therefore, the least common multiple of 3475 and 3480 is 2418600.