Least Common Multiple of 530 and 534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 530 and 534 the smallest integer that is 141510 that is divisible by both numbers.

Least Common Multiple (LCM) of 530 and 534 is 141510.

LCM(530,534) = 141510

LCM of 530 and 534

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

LCM of:
and

Least Common Multiple of 530 and 534

LCM of 530 and 534 is 141510

Least common multiple can be found by multiplying the highest exponent prime factors of 530 and 534. First we will calculate the prime factors of 530 and 534.

Prime Factorization of 530


2 530
5 265
53 53
1

Prime factors of 530 are 2, 5,53. Prime factorization of 530 in exponential form is:

530 = 21×51×531

Prime Factorization of 534


2 534
3 267
89 89
1

Prime factors of 534 are 2, 3,89. Prime factorization of 534 in exponential form is:

534 = 21×31×891

Now multiplying the highest exponent prime factors to calculate the LCM of 530 and 534.

LCM(530,534) = 21×31×51×531×891
LCM(530,534) = 141510

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Least Common Multiple of 530 and 534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 530 and 534, than apply into the LCM equation.

GCF(530,534) = 2
LCM(530,534) = ( 530 × 534) / 2
LCM(530,534) = 283020 / 2
LCM(530,534) = 141510

Properties of LCM 530 and 534

(i) The LCM of 534 and 530 is associative

LCM of 530 and 534 = LCM of 534 and 530

Related Least Common Multiples of 530

Related Least Common Multiples of 534

Frequently Asked Questions on LCM of 530 and 534

1. What is the LCM of 530 and 534?

Answer: LCM of 530 and 534 is 141510.

2. What are the Factors of 530?

Answer: Factors of 530 are 1, 2, 5, 10, 53, 106, 265, 530. There are 8 integers that are factors of 530. The greatest factor of 530 is 530.

3. What are the Factors of 534?

Answer: Factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534. There are 8 integers that are factors of 534. The greatest factor of 534 is 534.

4. How to Find the LCM of 530 and 534?

Answer:

Least Common Multiple of 530 and 534 = 141510

Step 1: Find the prime factorization of 530

530 = 2 x 5 x 53

Step 2: Find the prime factorization of 534

534 = 2 x 3 x 89

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

LCM = 141510 = 2 x 3 x 5 x 53 x 89

Step 4: Therefore, the least common multiple of 530 and 534 is 141510.