Least Common Multiple of 3512 and 3520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3512 and 3520 the smallest integer that is 1545280 that is divisible by both numbers.

Least Common Multiple (LCM) of 3512 and 3520 is 1545280.

LCM(3512,3520) = 1545280

LCM of 3512 and 3520

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

LCM of:
and

Least Common Multiple of 3512 and 3520

LCM of 3512 and 3520 is 1545280

Least common multiple can be found by multiplying the highest exponent prime factors of 3512 and 3520. First we will calculate the prime factors of 3512 and 3520.

Prime Factorization of 3512


2 3512
2 1756
2 878
439 439
1

Prime factors of 3512 are 2,439. Prime factorization of 3512 in exponential form is:

3512 = 23×4391

Prime Factorization of 3520


2 3520
2 1760
2 880
2 440
2 220
2 110
5 55
11 11
1

Prime factors of 3520 are 2, 5,11. Prime factorization of 3520 in exponential form is:

3520 = 26×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 3512 and 3520.

LCM(3512,3520) = 26×51×111×4391
LCM(3512,3520) = 1545280

Factors of 3512

List of positive integer factors of 3512 that divides 3512 without a remainder.

1, 2, 4, 8, 439, 878, 1756, 3512

Factors of 3520

List of positive integer factors of 3520 that divides 3520 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 160, 176, 220, 320, 352, 440, 704, 880, 1760, 3520

Least Common Multiple of 3512 and 3520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3512 and 3520, than apply into the LCM equation.

GCF(3512,3520) = 8
LCM(3512,3520) = ( 3512 × 3520) / 8
LCM(3512,3520) = 12362240 / 8
LCM(3512,3520) = 1545280

Properties of LCM 3512 and 3520

(i) The LCM of 3520 and 3512 is associative

LCM of 3512 and 3520 = LCM of 3520 and 3512

Related Least Common Multiples of 3512

Related Least Common Multiples of 3520

Frequently Asked Questions on LCM of 3512 and 3520

1. What is the LCM of 3512 and 3520?

Answer: LCM of 3512 and 3520 is 1545280.

2. What are the Factors of 3512?

Answer: Factors of 3512 are 1, 2, 4, 8, 439, 878, 1756, 3512. There are 8 integers that are factors of 3512. The greatest factor of 3512 is 3512.

3. What are the Factors of 3520?

Answer: Factors of 3520 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 160, 176, 220, 320, 352, 440, 704, 880, 1760, 3520. There are 28 integers that are factors of 3520. The greatest factor of 3520 is 3520.

4. How to Find the LCM of 3512 and 3520?

Answer:

Least Common Multiple of 3512 and 3520 = 1545280

Step 1: Find the prime factorization of 3512

3512 = 2 x 2 x 2 x 439

Step 2: Find the prime factorization of 3520

3520 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11

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

LCM = 1545280 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 439

Step 4: Therefore, the least common multiple of 3512 and 3520 is 1545280.