Least Common Multiple of 3520 and 3527

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 3527 the smallest integer that is 12415040 that is divisible by both numbers.

Least Common Multiple (LCM) of 3520 and 3527 is 12415040.

LCM(3520,3527) = 12415040

LCM of 3520 and 3527

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

LCM of:
and

Least Common Multiple of 3520 and 3527

LCM of 3520 and 3527 is 12415040

Least common multiple can be found by multiplying the highest exponent prime factors of 3520 and 3527. First we will calculate the prime factors of 3520 and 3527.

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 3527


3527 3527
1

Prime factors of 3527 are 3527. Prime factorization of 3527 in exponential form is:

3527 = 35271

Now multiplying the highest exponent prime factors to calculate the LCM of 3520 and 3527.

LCM(3520,3527) = 26×51×111×35271
LCM(3520,3527) = 12415040

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 3527

List of positive integer factors of 3527 that divides 3527 without a remainder.

1, 3527

Least Common Multiple of 3520 and 3527 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 3527, than apply into the LCM equation.

GCF(3520,3527) = 1
LCM(3520,3527) = ( 3520 × 3527) / 1
LCM(3520,3527) = 12415040 / 1
LCM(3520,3527) = 12415040

Properties of LCM 3520 and 3527

(i) The LCM of 3527 and 3520 is associative

LCM of 3520 and 3527 = LCM of 3527 and 3520

Related Least Common Multiples of 3520

Related Least Common Multiples of 3527

Frequently Asked Questions on LCM of 3520 and 3527

1. What is the LCM of 3520 and 3527?

Answer: LCM of 3520 and 3527 is 12415040.

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 3527?

Answer: Factors of 3527 are 1, 3527. There are 2 integers that are factors of 3527. The greatest factor of 3527 is 3527.

4. How to Find the LCM of 3520 and 3527?

Answer:

Least Common Multiple of 3520 and 3527 = 12415040

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 3527

3527 = 3527

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

LCM = 12415040 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 3527

Step 4: Therefore, the least common multiple of 3520 and 3527 is 12415040.