Least Common Multiple of 4535 and 4542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4535 and 4542 the smallest integer that is 20597970 that is divisible by both numbers.

Least Common Multiple (LCM) of 4535 and 4542 is 20597970.

LCM(4535,4542) = 20597970

LCM of 4535 and 4542

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

LCM of:
and

Least Common Multiple of 4535 and 4542

LCM of 4535 and 4542 is 20597970

Least common multiple can be found by multiplying the highest exponent prime factors of 4535 and 4542. First we will calculate the prime factors of 4535 and 4542.

Prime Factorization of 4535


5 4535
907 907
1

Prime factors of 4535 are 5,907. Prime factorization of 4535 in exponential form is:

4535 = 51×9071

Prime Factorization of 4542


2 4542
3 2271
757 757
1

Prime factors of 4542 are 2, 3,757. Prime factorization of 4542 in exponential form is:

4542 = 21×31×7571

Now multiplying the highest exponent prime factors to calculate the LCM of 4535 and 4542.

LCM(4535,4542) = 21×31×51×7571×9071
LCM(4535,4542) = 20597970

Factors of 4535

List of positive integer factors of 4535 that divides 4535 without a remainder.

1, 5, 907, 4535

Factors of 4542

List of positive integer factors of 4542 that divides 4542 without a remainder.

1, 2, 3, 6, 757, 1514, 2271, 4542

Least Common Multiple of 4535 and 4542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4535 and 4542, than apply into the LCM equation.

GCF(4535,4542) = 1
LCM(4535,4542) = ( 4535 × 4542) / 1
LCM(4535,4542) = 20597970 / 1
LCM(4535,4542) = 20597970

Properties of LCM 4535 and 4542

(i) The LCM of 4542 and 4535 is associative

LCM of 4535 and 4542 = LCM of 4542 and 4535

Related Least Common Multiples of 4535

Related Least Common Multiples of 4542

Frequently Asked Questions on LCM of 4535 and 4542

1. What is the LCM of 4535 and 4542?

Answer: LCM of 4535 and 4542 is 20597970.

2. What are the Factors of 4535?

Answer: Factors of 4535 are 1, 5, 907, 4535. There are 4 integers that are factors of 4535. The greatest factor of 4535 is 4535.

3. What are the Factors of 4542?

Answer: Factors of 4542 are 1, 2, 3, 6, 757, 1514, 2271, 4542. There are 8 integers that are factors of 4542. The greatest factor of 4542 is 4542.

4. How to Find the LCM of 4535 and 4542?

Answer:

Least Common Multiple of 4535 and 4542 = 20597970

Step 1: Find the prime factorization of 4535

4535 = 5 x 907

Step 2: Find the prime factorization of 4542

4542 = 2 x 3 x 757

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

LCM = 20597970 = 2 x 3 x 5 x 757 x 907

Step 4: Therefore, the least common multiple of 4535 and 4542 is 20597970.