Least Common Multiple of 3480 and 3485

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3480 and 3485 the smallest integer that is 2425560 that is divisible by both numbers.

Least Common Multiple (LCM) of 3480 and 3485 is 2425560.

LCM(3480,3485) = 2425560

LCM of 3480 and 3485

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

LCM of:
and

Least Common Multiple of 3480 and 3485

LCM of 3480 and 3485 is 2425560

Least common multiple can be found by multiplying the highest exponent prime factors of 3480 and 3485. First we will calculate the prime factors of 3480 and 3485.

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

Prime Factorization of 3485


5 3485
17 697
41 41
1

Prime factors of 3485 are 5, 17,41. Prime factorization of 3485 in exponential form is:

3485 = 51×171×411

Now multiplying the highest exponent prime factors to calculate the LCM of 3480 and 3485.

LCM(3480,3485) = 23×31×51×171×291×411
LCM(3480,3485) = 2425560

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

Factors of 3485

List of positive integer factors of 3485 that divides 3485 without a remainder.

1, 5, 17, 41, 85, 205, 697, 3485

Least Common Multiple of 3480 and 3485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3480 and 3485, than apply into the LCM equation.

GCF(3480,3485) = 5
LCM(3480,3485) = ( 3480 × 3485) / 5
LCM(3480,3485) = 12127800 / 5
LCM(3480,3485) = 2425560

Properties of LCM 3480 and 3485

(i) The LCM of 3485 and 3480 is associative

LCM of 3480 and 3485 = LCM of 3485 and 3480

Related Least Common Multiples of 3480

Related Least Common Multiples of 3485

Frequently Asked Questions on LCM of 3480 and 3485

1. What is the LCM of 3480 and 3485?

Answer: LCM of 3480 and 3485 is 2425560.

2. 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.

3. What are the Factors of 3485?

Answer: Factors of 3485 are 1, 5, 17, 41, 85, 205, 697, 3485. There are 8 integers that are factors of 3485. The greatest factor of 3485 is 3485.

4. How to Find the LCM of 3480 and 3485?

Answer:

Least Common Multiple of 3480 and 3485 = 2425560

Step 1: Find the prime factorization of 3480

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

Step 2: Find the prime factorization of 3485

3485 = 5 x 17 x 41

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

LCM = 2425560 = 2 x 2 x 2 x 3 x 5 x 17 x 29 x 41

Step 4: Therefore, the least common multiple of 3480 and 3485 is 2425560.