Least Common Multiple of 3520 and 3526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3520 and 3526 the smallest integer that is 6205760 that is divisible by both numbers.

Least Common Multiple (LCM) of 3520 and 3526 is 6205760.

LCM(3520,3526) = 6205760

LCM of 3520 and 3526

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

LCM of:
and

Least Common Multiple of 3520 and 3526

LCM of 3520 and 3526 is 6205760

Least common multiple can be found by multiplying the highest exponent prime factors of 3520 and 3526. First we will calculate the prime factors of 3520 and 3526.

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

Prime Factorization of 3526


2 3526
41 1763
43 43
1

Prime factors of 3526 are 2, 41,43. Prime factorization of 3526 in exponential form is:

3526 = 21×411×431

Now multiplying the highest exponent prime factors to calculate the LCM of 3520 and 3526.

LCM(3520,3526) = 26×51×111×411×431
LCM(3520,3526) = 6205760

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

Factors of 3526

List of positive integer factors of 3526 that divides 3526 without a remainder.

1, 2, 41, 43, 82, 86, 1763, 3526

Least Common Multiple of 3520 and 3526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3520 and 3526, than apply into the LCM equation.

GCF(3520,3526) = 2
LCM(3520,3526) = ( 3520 × 3526) / 2
LCM(3520,3526) = 12411520 / 2
LCM(3520,3526) = 6205760

Properties of LCM 3520 and 3526

(i) The LCM of 3526 and 3520 is associative

LCM of 3520 and 3526 = LCM of 3526 and 3520

Related Least Common Multiples of 3520

Related Least Common Multiples of 3526

Frequently Asked Questions on LCM of 3520 and 3526

1. What is the LCM of 3520 and 3526?

Answer: LCM of 3520 and 3526 is 6205760.

2. 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.

3. What are the Factors of 3526?

Answer: Factors of 3526 are 1, 2, 41, 43, 82, 86, 1763, 3526. There are 8 integers that are factors of 3526. The greatest factor of 3526 is 3526.

4. How to Find the LCM of 3520 and 3526?

Answer:

Least Common Multiple of 3520 and 3526 = 6205760

Step 1: Find the prime factorization of 3520

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

Step 2: Find the prime factorization of 3526

3526 = 2 x 41 x 43

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

LCM = 6205760 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 41 x 43

Step 4: Therefore, the least common multiple of 3520 and 3526 is 6205760.