Least Common Multiple of 3535 and 3541

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 3541 the smallest integer that is 12517435 that is divisible by both numbers.

Least Common Multiple (LCM) of 3535 and 3541 is 12517435.

LCM(3535,3541) = 12517435

LCM of 3535 and 3541

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

LCM of:
and

Least Common Multiple of 3535 and 3541

LCM of 3535 and 3541 is 12517435

Least common multiple can be found by multiplying the highest exponent prime factors of 3535 and 3541. First we will calculate the prime factors of 3535 and 3541.

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 3541


3541 3541
1

Prime factors of 3541 are 3541. Prime factorization of 3541 in exponential form is:

3541 = 35411

Now multiplying the highest exponent prime factors to calculate the LCM of 3535 and 3541.

LCM(3535,3541) = 51×71×1011×35411
LCM(3535,3541) = 12517435

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 3541

List of positive integer factors of 3541 that divides 3541 without a remainder.

1, 3541

Least Common Multiple of 3535 and 3541 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 3541, than apply into the LCM equation.

GCF(3535,3541) = 1
LCM(3535,3541) = ( 3535 × 3541) / 1
LCM(3535,3541) = 12517435 / 1
LCM(3535,3541) = 12517435

Properties of LCM 3535 and 3541

(i) The LCM of 3541 and 3535 is associative

LCM of 3535 and 3541 = LCM of 3541 and 3535

Related Least Common Multiples of 3535

Related Least Common Multiples of 3541

Frequently Asked Questions on LCM of 3535 and 3541

1. What is the LCM of 3535 and 3541?

Answer: LCM of 3535 and 3541 is 12517435.

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 3541?

Answer: Factors of 3541 are 1, 3541. There are 2 integers that are factors of 3541. The greatest factor of 3541 is 3541.

4. How to Find the LCM of 3535 and 3541?

Answer:

Least Common Multiple of 3535 and 3541 = 12517435

Step 1: Find the prime factorization of 3535

3535 = 5 x 7 x 101

Step 2: Find the prime factorization of 3541

3541 = 3541

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

LCM = 12517435 = 5 x 7 x 101 x 3541

Step 4: Therefore, the least common multiple of 3535 and 3541 is 12517435.