Least Common Multiple of 3476 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 3476 and 3480 the smallest integer that is 3024120 that is divisible by both numbers.

Least Common Multiple (LCM) of 3476 and 3480 is 3024120.

LCM(3476,3480) = 3024120

LCM of 3476 and 3480

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

LCM of:
and

Least Common Multiple of 3476 and 3480

LCM of 3476 and 3480 is 3024120

Least common multiple can be found by multiplying the highest exponent prime factors of 3476 and 3480. First we will calculate the prime factors of 3476 and 3480.

Prime Factorization of 3476


2 3476
2 1738
11 869
79 79
1

Prime factors of 3476 are 2, 11,79. Prime factorization of 3476 in exponential form is:

3476 = 22×111×791

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 3476 and 3480.

LCM(3476,3480) = 23×31×51×111×291×791
LCM(3476,3480) = 3024120

Factors of 3476

List of positive integer factors of 3476 that divides 3476 without a remainder.

1, 2, 4, 11, 22, 44, 79, 158, 316, 869, 1738, 3476

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 3476 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 3476 and 3480, than apply into the LCM equation.

GCF(3476,3480) = 4
LCM(3476,3480) = ( 3476 × 3480) / 4
LCM(3476,3480) = 12096480 / 4
LCM(3476,3480) = 3024120

Properties of LCM 3476 and 3480

(i) The LCM of 3480 and 3476 is associative

LCM of 3476 and 3480 = LCM of 3480 and 3476

Related Least Common Multiples of 3476

Related Least Common Multiples of 3480

Frequently Asked Questions on LCM of 3476 and 3480

1. What is the LCM of 3476 and 3480?

Answer: LCM of 3476 and 3480 is 3024120.

2. What are the Factors of 3476?

Answer: Factors of 3476 are 1, 2, 4, 11, 22, 44, 79, 158, 316, 869, 1738, 3476. There are 12 integers that are factors of 3476. The greatest factor of 3476 is 3476.

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 3476 and 3480?

Answer:

Least Common Multiple of 3476 and 3480 = 3024120

Step 1: Find the prime factorization of 3476

3476 = 2 x 2 x 11 x 79

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 = 3024120 = 2 x 2 x 2 x 3 x 5 x 11 x 29 x 79

Step 4: Therefore, the least common multiple of 3476 and 3480 is 3024120.