Least Common Multiple of 3535 and 3538

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 3538 the smallest integer that is 12506830 that is divisible by both numbers.

Least Common Multiple (LCM) of 3535 and 3538 is 12506830.

LCM(3535,3538) = 12506830

LCM of 3535 and 3538

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

LCM of:
and

Least Common Multiple of 3535 and 3538

LCM of 3535 and 3538 is 12506830

Least common multiple can be found by multiplying the highest exponent prime factors of 3535 and 3538. First we will calculate the prime factors of 3535 and 3538.

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 3538


2 3538
29 1769
61 61
1

Prime factors of 3538 are 2, 29,61. Prime factorization of 3538 in exponential form is:

3538 = 21×291×611

Now multiplying the highest exponent prime factors to calculate the LCM of 3535 and 3538.

LCM(3535,3538) = 21×51×71×291×611×1011
LCM(3535,3538) = 12506830

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 3538

List of positive integer factors of 3538 that divides 3538 without a remainder.

1, 2, 29, 58, 61, 122, 1769, 3538

Least Common Multiple of 3535 and 3538 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 3538, than apply into the LCM equation.

GCF(3535,3538) = 1
LCM(3535,3538) = ( 3535 × 3538) / 1
LCM(3535,3538) = 12506830 / 1
LCM(3535,3538) = 12506830

Properties of LCM 3535 and 3538

(i) The LCM of 3538 and 3535 is associative

LCM of 3535 and 3538 = LCM of 3538 and 3535

Related Least Common Multiples of 3535

Related Least Common Multiples of 3538

Frequently Asked Questions on LCM of 3535 and 3538

1. What is the LCM of 3535 and 3538?

Answer: LCM of 3535 and 3538 is 12506830.

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 3538?

Answer: Factors of 3538 are 1, 2, 29, 58, 61, 122, 1769, 3538. There are 8 integers that are factors of 3538. The greatest factor of 3538 is 3538.

4. How to Find the LCM of 3535 and 3538?

Answer:

Least Common Multiple of 3535 and 3538 = 12506830

Step 1: Find the prime factorization of 3535

3535 = 5 x 7 x 101

Step 2: Find the prime factorization of 3538

3538 = 2 x 29 x 61

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

LCM = 12506830 = 2 x 5 x 7 x 29 x 61 x 101

Step 4: Therefore, the least common multiple of 3535 and 3538 is 12506830.