Least Common Multiple of 529 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 529 and 535 the smallest integer that is 283015 that is divisible by both numbers.

Least Common Multiple (LCM) of 529 and 535 is 283015.

LCM(529,535) = 283015

LCM of 529 and 535

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

LCM of:
and

Least Common Multiple of 529 and 535

LCM of 529 and 535 is 283015

Least common multiple can be found by multiplying the highest exponent prime factors of 529 and 535. First we will calculate the prime factors of 529 and 535.

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

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 529 and 535.

LCM(529,535) = 51×232×1071
LCM(529,535) = 283015

Factors of 529

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

1, 23, 529

Factors of 535

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

1, 5, 107, 535

Least Common Multiple of 529 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 529 and 535, than apply into the LCM equation.

GCF(529,535) = 1
LCM(529,535) = ( 529 × 535) / 1
LCM(529,535) = 283015 / 1
LCM(529,535) = 283015

Properties of LCM 529 and 535

(i) The LCM of 535 and 529 is associative

LCM of 529 and 535 = LCM of 535 and 529

Related Least Common Multiples of 529

Related Least Common Multiples of 535

Frequently Asked Questions on LCM of 529 and 535

1. What is the LCM of 529 and 535?

Answer: LCM of 529 and 535 is 283015.

2. 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.

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 529 and 535?

Answer:

Least Common Multiple of 529 and 535 = 283015

Step 1: Find the prime factorization of 529

529 = 23 x 23

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 = 283015 = 5 x 23 x 23 x 107

Step 4: Therefore, the least common multiple of 529 and 535 is 283015.