Least Common Multiple of 528 and 529

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 529 the smallest integer that is 279312 that is divisible by both numbers.

Least Common Multiple (LCM) of 528 and 529 is 279312.

LCM(528,529) = 279312

LCM of 528 and 529

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

LCM of:
and

Least Common Multiple of 528 and 529

LCM of 528 and 529 is 279312

Least common multiple can be found by multiplying the highest exponent prime factors of 528 and 529. First we will calculate the prime factors of 528 and 529.

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 529


23 529
23 23
1

Prime factors of 529 are 23. Prime factorization of 529 in exponential form is:

529 = 232

Now multiplying the highest exponent prime factors to calculate the LCM of 528 and 529.

LCM(528,529) = 24×31×111×232
LCM(528,529) = 279312

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 529

List of positive integer factors of 529 that divides 529 without a remainder.

1, 23, 529

Least Common Multiple of 528 and 529 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 529, than apply into the LCM equation.

GCF(528,529) = 1
LCM(528,529) = ( 528 × 529) / 1
LCM(528,529) = 279312 / 1
LCM(528,529) = 279312

Properties of LCM 528 and 529

(i) The LCM of 529 and 528 is associative

LCM of 528 and 529 = LCM of 529 and 528

Related Least Common Multiples of 528

Related Least Common Multiples of 529

Frequently Asked Questions on LCM of 528 and 529

1. What is the LCM of 528 and 529?

Answer: LCM of 528 and 529 is 279312.

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 529?

Answer: Factors of 529 are 1, 23, 529. There are 3 integers that are factors of 529. The greatest factor of 529 is 529.

4. How to Find the LCM of 528 and 529?

Answer:

Least Common Multiple of 528 and 529 = 279312

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 529

529 = 23 x 23

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

LCM = 279312 = 2 x 2 x 2 x 2 x 3 x 11 x 23 x 23

Step 4: Therefore, the least common multiple of 528 and 529 is 279312.