Least Common Multiple of 529 and 537

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 537 the smallest integer that is 284073 that is divisible by both numbers.

Least Common Multiple (LCM) of 529 and 537 is 284073.

LCM(529,537) = 284073

LCM of 529 and 537

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

LCM of:
and

Least Common Multiple of 529 and 537

LCM of 529 and 537 is 284073

Least common multiple can be found by multiplying the highest exponent prime factors of 529 and 537. First we will calculate the prime factors of 529 and 537.

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 537


3 537
179 179
1

Prime factors of 537 are 3,179. Prime factorization of 537 in exponential form is:

537 = 31×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 529 and 537.

LCM(529,537) = 31×232×1791
LCM(529,537) = 284073

Factors of 529

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

1, 23, 529

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Least Common Multiple of 529 and 537 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 537, than apply into the LCM equation.

GCF(529,537) = 1
LCM(529,537) = ( 529 × 537) / 1
LCM(529,537) = 284073 / 1
LCM(529,537) = 284073

Properties of LCM 529 and 537

(i) The LCM of 537 and 529 is associative

LCM of 529 and 537 = LCM of 537 and 529

Related Least Common Multiples of 529

Related Least Common Multiples of 537

Frequently Asked Questions on LCM of 529 and 537

1. What is the LCM of 529 and 537?

Answer: LCM of 529 and 537 is 284073.

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 537?

Answer: Factors of 537 are 1, 3, 179, 537. There are 4 integers that are factors of 537. The greatest factor of 537 is 537.

4. How to Find the LCM of 529 and 537?

Answer:

Least Common Multiple of 529 and 537 = 284073

Step 1: Find the prime factorization of 529

529 = 23 x 23

Step 2: Find the prime factorization of 537

537 = 3 x 179

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

LCM = 284073 = 3 x 23 x 23 x 179

Step 4: Therefore, the least common multiple of 529 and 537 is 284073.