Least Common Multiple of 529 and 536

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 536 the smallest integer that is 283544 that is divisible by both numbers.

Least Common Multiple (LCM) of 529 and 536 is 283544.

LCM(529,536) = 283544

LCM of 529 and 536

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

LCM of:
and

Least Common Multiple of 529 and 536

LCM of 529 and 536 is 283544

Least common multiple can be found by multiplying the highest exponent prime factors of 529 and 536. First we will calculate the prime factors of 529 and 536.

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 536


2 536
2 268
2 134
67 67
1

Prime factors of 536 are 2,67. Prime factorization of 536 in exponential form is:

536 = 23×671

Now multiplying the highest exponent prime factors to calculate the LCM of 529 and 536.

LCM(529,536) = 23×232×671
LCM(529,536) = 283544

Factors of 529

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

1, 23, 529

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Least Common Multiple of 529 and 536 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 536, than apply into the LCM equation.

GCF(529,536) = 1
LCM(529,536) = ( 529 × 536) / 1
LCM(529,536) = 283544 / 1
LCM(529,536) = 283544

Properties of LCM 529 and 536

(i) The LCM of 536 and 529 is associative

LCM of 529 and 536 = LCM of 536 and 529

Related Least Common Multiples of 529

Related Least Common Multiples of 536

Frequently Asked Questions on LCM of 529 and 536

1. What is the LCM of 529 and 536?

Answer: LCM of 529 and 536 is 283544.

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 536?

Answer: Factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536. There are 8 integers that are factors of 536. The greatest factor of 536 is 536.

4. How to Find the LCM of 529 and 536?

Answer:

Least Common Multiple of 529 and 536 = 283544

Step 1: Find the prime factorization of 529

529 = 23 x 23

Step 2: Find the prime factorization of 536

536 = 2 x 2 x 2 x 67

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

LCM = 283544 = 2 x 2 x 2 x 23 x 23 x 67

Step 4: Therefore, the least common multiple of 529 and 536 is 283544.