Least Common Multiple of 3480 and 3488

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 3488 the smallest integer that is 1517280 that is divisible by both numbers.

Least Common Multiple (LCM) of 3480 and 3488 is 1517280.

LCM(3480,3488) = 1517280

LCM of 3480 and 3488

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

LCM of:
and

Least Common Multiple of 3480 and 3488

LCM of 3480 and 3488 is 1517280

Least common multiple can be found by multiplying the highest exponent prime factors of 3480 and 3488. First we will calculate the prime factors of 3480 and 3488.

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 3488


2 3488
2 1744
2 872
2 436
2 218
109 109
1

Prime factors of 3488 are 2,109. Prime factorization of 3488 in exponential form is:

3488 = 25×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 3480 and 3488.

LCM(3480,3488) = 25×31×51×291×1091
LCM(3480,3488) = 1517280

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 3488

List of positive integer factors of 3488 that divides 3488 without a remainder.

1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744, 3488

Least Common Multiple of 3480 and 3488 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 3488, than apply into the LCM equation.

GCF(3480,3488) = 8
LCM(3480,3488) = ( 3480 × 3488) / 8
LCM(3480,3488) = 12138240 / 8
LCM(3480,3488) = 1517280

Properties of LCM 3480 and 3488

(i) The LCM of 3488 and 3480 is associative

LCM of 3480 and 3488 = LCM of 3488 and 3480

Related Least Common Multiples of 3480

Related Least Common Multiples of 3488

Frequently Asked Questions on LCM of 3480 and 3488

1. What is the LCM of 3480 and 3488?

Answer: LCM of 3480 and 3488 is 1517280.

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 3488?

Answer: Factors of 3488 are 1, 2, 4, 8, 16, 32, 109, 218, 436, 872, 1744, 3488. There are 12 integers that are factors of 3488. The greatest factor of 3488 is 3488.

4. How to Find the LCM of 3480 and 3488?

Answer:

Least Common Multiple of 3480 and 3488 = 1517280

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 3488

3488 = 2 x 2 x 2 x 2 x 2 x 109

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

LCM = 1517280 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 29 x 109

Step 4: Therefore, the least common multiple of 3480 and 3488 is 1517280.