Least Common Multiple of 3527 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 3527 and 3535 the smallest integer that is 12467945 that is divisible by both numbers.

Least Common Multiple (LCM) of 3527 and 3535 is 12467945.

LCM(3527,3535) = 12467945

LCM of 3527 and 3535

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

LCM of:
and

Least Common Multiple of 3527 and 3535

LCM of 3527 and 3535 is 12467945

Least common multiple can be found by multiplying the highest exponent prime factors of 3527 and 3535. First we will calculate the prime factors of 3527 and 3535.

Prime Factorization of 3527


3527 3527
1

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

3527 = 35271

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 3527 and 3535.

LCM(3527,3535) = 51×71×1011×35271
LCM(3527,3535) = 12467945

Factors of 3527

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

1, 3527

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 3527 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 3527 and 3535, than apply into the LCM equation.

GCF(3527,3535) = 1
LCM(3527,3535) = ( 3527 × 3535) / 1
LCM(3527,3535) = 12467945 / 1
LCM(3527,3535) = 12467945

Properties of LCM 3527 and 3535

(i) The LCM of 3535 and 3527 is associative

LCM of 3527 and 3535 = LCM of 3535 and 3527

Related Least Common Multiples of 3527

Related Least Common Multiples of 3535

Frequently Asked Questions on LCM of 3527 and 3535

1. What is the LCM of 3527 and 3535?

Answer: LCM of 3527 and 3535 is 12467945.

2. 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.

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 3527 and 3535?

Answer:

Least Common Multiple of 3527 and 3535 = 12467945

Step 1: Find the prime factorization of 3527

3527 = 3527

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 = 12467945 = 5 x 7 x 101 x 3527

Step 4: Therefore, the least common multiple of 3527 and 3535 is 12467945.