Least Common Multiple of 532 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 532 and 534 the smallest integer that is 142044 that is divisible by both numbers.

Least Common Multiple (LCM) of 532 and 534 is 142044.

LCM(532,534) = 142044

LCM of 532 and 534

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

LCM of:
and

Least Common Multiple of 532 and 534

LCM of 532 and 534 is 142044

Least common multiple can be found by multiplying the highest exponent prime factors of 532 and 534. First we will calculate the prime factors of 532 and 534.

Prime Factorization of 532


2 532
2 266
7 133
19 19
1

Prime factors of 532 are 2, 7,19. Prime factorization of 532 in exponential form is:

532 = 22×71×191

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 532 and 534.

LCM(532,534) = 22×31×71×191×891
LCM(532,534) = 142044

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

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 532 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 532 and 534, than apply into the LCM equation.

GCF(532,534) = 2
LCM(532,534) = ( 532 × 534) / 2
LCM(532,534) = 284088 / 2
LCM(532,534) = 142044

Properties of LCM 532 and 534

(i) The LCM of 534 and 532 is associative

LCM of 532 and 534 = LCM of 534 and 532

Related Least Common Multiples of 532

Related Least Common Multiples of 534

Frequently Asked Questions on LCM of 532 and 534

1. What is the LCM of 532 and 534?

Answer: LCM of 532 and 534 is 142044.

2. What are the Factors of 532?

Answer: Factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532. There are 12 integers that are factors of 532. The greatest factor of 532 is 532.

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 532 and 534?

Answer:

Least Common Multiple of 532 and 534 = 142044

Step 1: Find the prime factorization of 532

532 = 2 x 2 x 7 x 19

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 = 142044 = 2 x 2 x 3 x 7 x 19 x 89

Step 4: Therefore, the least common multiple of 532 and 534 is 142044.