Least Common Multiple of 528 and 535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 528 and 535 the smallest integer that is 282480 that is divisible by both numbers.

Least Common Multiple (LCM) of 528 and 535 is 282480.

LCM(528,535) = 282480

LCM of 528 and 535

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

LCM of:
and

Least Common Multiple of 528 and 535

LCM of 528 and 535 is 282480

Least common multiple can be found by multiplying the highest exponent prime factors of 528 and 535. First we will calculate the prime factors of 528 and 535.

Prime Factorization of 528


2 528
2 264
2 132
2 66
3 33
11 11
1

Prime factors of 528 are 2, 3,11. Prime factorization of 528 in exponential form is:

528 = 24×31×111

Prime Factorization of 535


5 535
107 107
1

Prime factors of 535 are 5,107. Prime factorization of 535 in exponential form is:

535 = 51×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 528 and 535.

LCM(528,535) = 24×31×51×111×1071
LCM(528,535) = 282480

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Least Common Multiple of 528 and 535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 528 and 535, than apply into the LCM equation.

GCF(528,535) = 1
LCM(528,535) = ( 528 × 535) / 1
LCM(528,535) = 282480 / 1
LCM(528,535) = 282480

Properties of LCM 528 and 535

(i) The LCM of 535 and 528 is associative

LCM of 528 and 535 = LCM of 535 and 528

Related Least Common Multiples of 528

Related Least Common Multiples of 535

Frequently Asked Questions on LCM of 528 and 535

1. What is the LCM of 528 and 535?

Answer: LCM of 528 and 535 is 282480.

2. What are the Factors of 528?

Answer: Factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528. There are 20 integers that are factors of 528. The greatest factor of 528 is 528.

3. What are the Factors of 535?

Answer: Factors of 535 are 1, 5, 107, 535. There are 4 integers that are factors of 535. The greatest factor of 535 is 535.

4. How to Find the LCM of 528 and 535?

Answer:

Least Common Multiple of 528 and 535 = 282480

Step 1: Find the prime factorization of 528

528 = 2 x 2 x 2 x 2 x 3 x 11

Step 2: Find the prime factorization of 535

535 = 5 x 107

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

LCM = 282480 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 107

Step 4: Therefore, the least common multiple of 528 and 535 is 282480.