Least Common Multiple of 534 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 534 and 536 the smallest integer that is 143112 that is divisible by both numbers.

Least Common Multiple (LCM) of 534 and 536 is 143112.

LCM(534,536) = 143112

LCM of 534 and 536

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

LCM of:
and

Least Common Multiple of 534 and 536

LCM of 534 and 536 is 143112

Least common multiple can be found by multiplying the highest exponent prime factors of 534 and 536. First we will calculate the prime factors of 534 and 536.

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

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 534 and 536.

LCM(534,536) = 23×31×671×891
LCM(534,536) = 143112

Factors of 534

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

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

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 534 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 534 and 536, than apply into the LCM equation.

GCF(534,536) = 2
LCM(534,536) = ( 534 × 536) / 2
LCM(534,536) = 286224 / 2
LCM(534,536) = 143112

Properties of LCM 534 and 536

(i) The LCM of 536 and 534 is associative

LCM of 534 and 536 = LCM of 536 and 534

Related Least Common Multiples of 534

Related Least Common Multiples of 536

Frequently Asked Questions on LCM of 534 and 536

1. What is the LCM of 534 and 536?

Answer: LCM of 534 and 536 is 143112.

2. 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.

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 534 and 536?

Answer:

Least Common Multiple of 534 and 536 = 143112

Step 1: Find the prime factorization of 534

534 = 2 x 3 x 89

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 = 143112 = 2 x 2 x 2 x 3 x 67 x 89

Step 4: Therefore, the least common multiple of 534 and 536 is 143112.