Least Common Multiple of 3535 and 3540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3535 and 3540 the smallest integer that is 2502780 that is divisible by both numbers.

Least Common Multiple (LCM) of 3535 and 3540 is 2502780.

LCM(3535,3540) = 2502780

LCM of 3535 and 3540

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

LCM of:
and

Least Common Multiple of 3535 and 3540

LCM of 3535 and 3540 is 2502780

Least common multiple can be found by multiplying the highest exponent prime factors of 3535 and 3540. First we will calculate the prime factors of 3535 and 3540.

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

Prime Factorization of 3540


2 3540
2 1770
3 885
5 295
59 59
1

Prime factors of 3540 are 2, 3, 5,59. Prime factorization of 3540 in exponential form is:

3540 = 22×31×51×591

Now multiplying the highest exponent prime factors to calculate the LCM of 3535 and 3540.

LCM(3535,3540) = 22×31×51×71×591×1011
LCM(3535,3540) = 2502780

Factors of 3535

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

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

Factors of 3540

List of positive integer factors of 3540 that divides 3540 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540

Least Common Multiple of 3535 and 3540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3535 and 3540, than apply into the LCM equation.

GCF(3535,3540) = 5
LCM(3535,3540) = ( 3535 × 3540) / 5
LCM(3535,3540) = 12513900 / 5
LCM(3535,3540) = 2502780

Properties of LCM 3535 and 3540

(i) The LCM of 3540 and 3535 is associative

LCM of 3535 and 3540 = LCM of 3540 and 3535

Related Least Common Multiples of 3535

Related Least Common Multiples of 3540

Frequently Asked Questions on LCM of 3535 and 3540

1. What is the LCM of 3535 and 3540?

Answer: LCM of 3535 and 3540 is 2502780.

2. 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.

3. What are the Factors of 3540?

Answer: Factors of 3540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540. There are 24 integers that are factors of 3540. The greatest factor of 3540 is 3540.

4. How to Find the LCM of 3535 and 3540?

Answer:

Least Common Multiple of 3535 and 3540 = 2502780

Step 1: Find the prime factorization of 3535

3535 = 5 x 7 x 101

Step 2: Find the prime factorization of 3540

3540 = 2 x 2 x 3 x 5 x 59

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

LCM = 2502780 = 2 x 2 x 3 x 5 x 7 x 59 x 101

Step 4: Therefore, the least common multiple of 3535 and 3540 is 2502780.