Least Common Multiple of 538 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 538 and 542 the smallest integer that is 145798 that is divisible by both numbers.

Least Common Multiple (LCM) of 538 and 542 is 145798.

LCM(538,542) = 145798

LCM of 538 and 542

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

LCM of:
and

Least Common Multiple of 538 and 542

LCM of 538 and 542 is 145798

Least common multiple can be found by multiplying the highest exponent prime factors of 538 and 542. First we will calculate the prime factors of 538 and 542.

Prime Factorization of 538


2 538
269 269
1

Prime factors of 538 are 2,269. Prime factorization of 538 in exponential form is:

538 = 21×2691

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 538 and 542.

LCM(538,542) = 21×2691×2711
LCM(538,542) = 145798

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Factors of 542

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

1, 2, 271, 542

Least Common Multiple of 538 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 538 and 542, than apply into the LCM equation.

GCF(538,542) = 2
LCM(538,542) = ( 538 × 542) / 2
LCM(538,542) = 291596 / 2
LCM(538,542) = 145798

Properties of LCM 538 and 542

(i) The LCM of 542 and 538 is associative

LCM of 538 and 542 = LCM of 542 and 538

Related Least Common Multiples of 538

Related Least Common Multiples of 542

Frequently Asked Questions on LCM of 538 and 542

1. What is the LCM of 538 and 542?

Answer: LCM of 538 and 542 is 145798.

2. What are the Factors of 538?

Answer: Factors of 538 are 1, 2, 269, 538. There are 4 integers that are factors of 538. The greatest factor of 538 is 538.

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 538 and 542?

Answer:

Least Common Multiple of 538 and 542 = 145798

Step 1: Find the prime factorization of 538

538 = 2 x 269

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 = 145798 = 2 x 269 x 271

Step 4: Therefore, the least common multiple of 538 and 542 is 145798.