Least Common Multiple of 4528 and 4535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4528 and 4535 the smallest integer that is 20534480 that is divisible by both numbers.

Least Common Multiple (LCM) of 4528 and 4535 is 20534480.

LCM(4528,4535) = 20534480

LCM of 4528 and 4535

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

LCM of:
and

Least Common Multiple of 4528 and 4535

LCM of 4528 and 4535 is 20534480

Least common multiple can be found by multiplying the highest exponent prime factors of 4528 and 4535. First we will calculate the prime factors of 4528 and 4535.

Prime Factorization of 4528


2 4528
2 2264
2 1132
2 566
283 283
1

Prime factors of 4528 are 2,283. Prime factorization of 4528 in exponential form is:

4528 = 24×2831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4528 and 4535.

LCM(4528,4535) = 24×51×2831×9071
LCM(4528,4535) = 20534480

Factors of 4528

List of positive integer factors of 4528 that divides 4528 without a remainder.

1, 2, 4, 8, 16, 283, 566, 1132, 2264, 4528

Factors of 4535

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

1, 5, 907, 4535

Least Common Multiple of 4528 and 4535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4528 and 4535, than apply into the LCM equation.

GCF(4528,4535) = 1
LCM(4528,4535) = ( 4528 × 4535) / 1
LCM(4528,4535) = 20534480 / 1
LCM(4528,4535) = 20534480

Properties of LCM 4528 and 4535

(i) The LCM of 4535 and 4528 is associative

LCM of 4528 and 4535 = LCM of 4535 and 4528

Related Least Common Multiples of 4528

Related Least Common Multiples of 4535

Frequently Asked Questions on LCM of 4528 and 4535

1. What is the LCM of 4528 and 4535?

Answer: LCM of 4528 and 4535 is 20534480.

2. What are the Factors of 4528?

Answer: Factors of 4528 are 1, 2, 4, 8, 16, 283, 566, 1132, 2264, 4528. There are 10 integers that are factors of 4528. The greatest factor of 4528 is 4528.

3. 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.

4. How to Find the LCM of 4528 and 4535?

Answer:

Least Common Multiple of 4528 and 4535 = 20534480

Step 1: Find the prime factorization of 4528

4528 = 2 x 2 x 2 x 2 x 283

Step 2: Find the prime factorization of 4535

4535 = 5 x 907

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

LCM = 20534480 = 2 x 2 x 2 x 2 x 5 x 283 x 907

Step 4: Therefore, the least common multiple of 4528 and 4535 is 20534480.