Least Common Multiple of 535 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 535 and 542 the smallest integer that is 289970 that is divisible by both numbers.

Least Common Multiple (LCM) of 535 and 542 is 289970.

LCM(535,542) = 289970

LCM of 535 and 542

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

LCM of:
and

Least Common Multiple of 535 and 542

LCM of 535 and 542 is 289970

Least common multiple can be found by multiplying the highest exponent prime factors of 535 and 542. First we will calculate the prime factors of 535 and 542.

Prime Factorization of 535


5 535
107 107
1

Prime factors of 535 are 5,107. Prime factorization of 535 in exponential form is:

535 = 51×1071

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 535 and 542.

LCM(535,542) = 21×51×1071×2711
LCM(535,542) = 289970

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Factors of 542

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

1, 2, 271, 542

Least Common Multiple of 535 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 535 and 542, than apply into the LCM equation.

GCF(535,542) = 1
LCM(535,542) = ( 535 × 542) / 1
LCM(535,542) = 289970 / 1
LCM(535,542) = 289970

Properties of LCM 535 and 542

(i) The LCM of 542 and 535 is associative

LCM of 535 and 542 = LCM of 542 and 535

Related Least Common Multiples of 535

Related Least Common Multiples of 542

Frequently Asked Questions on LCM of 535 and 542

1. What is the LCM of 535 and 542?

Answer: LCM of 535 and 542 is 289970.

2. What are the Factors of 535?

Answer: Factors of 535 are 1, 5, 107, 535. There are 4 integers that are factors of 535. The greatest factor of 535 is 535.

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 535 and 542?

Answer:

Least Common Multiple of 535 and 542 = 289970

Step 1: Find the prime factorization of 535

535 = 5 x 107

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 = 289970 = 2 x 5 x 107 x 271

Step 4: Therefore, the least common multiple of 535 and 542 is 289970.