Least Common Multiple of 536 and 542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 536 and 542 the smallest integer that is 145256 that is divisible by both numbers.

Least Common Multiple (LCM) of 536 and 542 is 145256.

LCM(536,542) = 145256

LCM of 536 and 542

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

LCM of:
and

Least Common Multiple of 536 and 542

LCM of 536 and 542 is 145256

Least common multiple can be found by multiplying the highest exponent prime factors of 536 and 542. First we will calculate the prime factors of 536 and 542.

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

Prime Factorization of 542


2 542
271 271
1

Prime factors of 542 are 2,271. Prime factorization of 542 in exponential form is:

542 = 21×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 536 and 542.

LCM(536,542) = 23×671×2711
LCM(536,542) = 145256

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Least Common Multiple of 536 and 542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 536 and 542, than apply into the LCM equation.

GCF(536,542) = 2
LCM(536,542) = ( 536 × 542) / 2
LCM(536,542) = 290512 / 2
LCM(536,542) = 145256

Properties of LCM 536 and 542

(i) The LCM of 542 and 536 is associative

LCM of 536 and 542 = LCM of 542 and 536

Related Least Common Multiples of 536

Related Least Common Multiples of 542

Frequently Asked Questions on LCM of 536 and 542

1. What is the LCM of 536 and 542?

Answer: LCM of 536 and 542 is 145256.

2. 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.

3. What are the Factors of 542?

Answer: Factors of 542 are 1, 2, 271, 542. There are 4 integers that are factors of 542. The greatest factor of 542 is 542.

4. How to Find the LCM of 536 and 542?

Answer:

Least Common Multiple of 536 and 542 = 145256

Step 1: Find the prime factorization of 536

536 = 2 x 2 x 2 x 67

Step 2: Find the prime factorization of 542

542 = 2 x 271

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

LCM = 145256 = 2 x 2 x 2 x 67 x 271

Step 4: Therefore, the least common multiple of 536 and 542 is 145256.