Least Common Multiple of 3530 and 3535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3530 and 3535 the smallest integer that is 2495710 that is divisible by both numbers.

Least Common Multiple (LCM) of 3530 and 3535 is 2495710.

LCM(3530,3535) = 2495710

LCM of 3530 and 3535

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

LCM of:
and

Least Common Multiple of 3530 and 3535

LCM of 3530 and 3535 is 2495710

Least common multiple can be found by multiplying the highest exponent prime factors of 3530 and 3535. First we will calculate the prime factors of 3530 and 3535.

Prime Factorization of 3530


2 3530
5 1765
353 353
1

Prime factors of 3530 are 2, 5,353. Prime factorization of 3530 in exponential form is:

3530 = 21×51×3531

Prime Factorization of 3535


5 3535
7 707
101 101
1

Prime factors of 3535 are 5, 7,101. Prime factorization of 3535 in exponential form is:

3535 = 51×71×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 3530 and 3535.

LCM(3530,3535) = 21×51×71×1011×3531
LCM(3530,3535) = 2495710

Factors of 3530

List of positive integer factors of 3530 that divides 3530 without a remainder.

1, 2, 5, 10, 353, 706, 1765, 3530

Factors of 3535

List of positive integer factors of 3535 that divides 3535 without a remainder.

1, 5, 7, 35, 101, 505, 707, 3535

Least Common Multiple of 3530 and 3535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3530 and 3535, than apply into the LCM equation.

GCF(3530,3535) = 5
LCM(3530,3535) = ( 3530 × 3535) / 5
LCM(3530,3535) = 12478550 / 5
LCM(3530,3535) = 2495710

Properties of LCM 3530 and 3535

(i) The LCM of 3535 and 3530 is associative

LCM of 3530 and 3535 = LCM of 3535 and 3530

Related Least Common Multiples of 3530

Related Least Common Multiples of 3535

Frequently Asked Questions on LCM of 3530 and 3535

1. What is the LCM of 3530 and 3535?

Answer: LCM of 3530 and 3535 is 2495710.

2. What are the Factors of 3530?

Answer: Factors of 3530 are 1, 2, 5, 10, 353, 706, 1765, 3530. There are 8 integers that are factors of 3530. The greatest factor of 3530 is 3530.

3. What are the Factors of 3535?

Answer: Factors of 3535 are 1, 5, 7, 35, 101, 505, 707, 3535. There are 8 integers that are factors of 3535. The greatest factor of 3535 is 3535.

4. How to Find the LCM of 3530 and 3535?

Answer:

Least Common Multiple of 3530 and 3535 = 2495710

Step 1: Find the prime factorization of 3530

3530 = 2 x 5 x 353

Step 2: Find the prime factorization of 3535

3535 = 5 x 7 x 101

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

LCM = 2495710 = 2 x 5 x 7 x 101 x 353

Step 4: Therefore, the least common multiple of 3530 and 3535 is 2495710.