Least Common Multiple of 531 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 531 and 537 the smallest integer that is 95049 that is divisible by both numbers.

Least Common Multiple (LCM) of 531 and 537 is 95049.

LCM(531,537) = 95049

LCM of 531 and 537

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

LCM of:
and

Least Common Multiple of 531 and 537

LCM of 531 and 537 is 95049

Least common multiple can be found by multiplying the highest exponent prime factors of 531 and 537. First we will calculate the prime factors of 531 and 537.

Prime Factorization of 531


3 531
3 177
59 59
1

Prime factors of 531 are 3,59. Prime factorization of 531 in exponential form is:

531 = 32×591

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 531 and 537.

LCM(531,537) = 32×591×1791
LCM(531,537) = 95049

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Factors of 537

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

1, 3, 179, 537

Least Common Multiple of 531 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 531 and 537, than apply into the LCM equation.

GCF(531,537) = 3
LCM(531,537) = ( 531 × 537) / 3
LCM(531,537) = 285147 / 3
LCM(531,537) = 95049

Properties of LCM 531 and 537

(i) The LCM of 537 and 531 is associative

LCM of 531 and 537 = LCM of 537 and 531

Related Least Common Multiples of 531

Related Least Common Multiples of 537

Frequently Asked Questions on LCM of 531 and 537

1. What is the LCM of 531 and 537?

Answer: LCM of 531 and 537 is 95049.

2. What are the Factors of 531?

Answer: Factors of 531 are 1, 3, 9, 59, 177, 531. There are 6 integers that are factors of 531. The greatest factor of 531 is 531.

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 531 and 537?

Answer:

Least Common Multiple of 531 and 537 = 95049

Step 1: Find the prime factorization of 531

531 = 3 x 3 x 59

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 = 95049 = 3 x 3 x 59 x 179

Step 4: Therefore, the least common multiple of 531 and 537 is 95049.