Least Common Multiple of 527 and 535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 527 and 535 the smallest integer that is 281945 that is divisible by both numbers.

Least Common Multiple (LCM) of 527 and 535 is 281945.

LCM(527,535) = 281945

LCM of 527 and 535

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

LCM of:
and

Least Common Multiple of 527 and 535

LCM of 527 and 535 is 281945

Least common multiple can be found by multiplying the highest exponent prime factors of 527 and 535. First we will calculate the prime factors of 527 and 535.

Prime Factorization of 527


17 527
31 31
1

Prime factors of 527 are 17,31. Prime factorization of 527 in exponential form is:

527 = 171×311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 527 and 535.

LCM(527,535) = 51×171×311×1071
LCM(527,535) = 281945

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Factors of 535

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

1, 5, 107, 535

Least Common Multiple of 527 and 535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 527 and 535, than apply into the LCM equation.

GCF(527,535) = 1
LCM(527,535) = ( 527 × 535) / 1
LCM(527,535) = 281945 / 1
LCM(527,535) = 281945

Properties of LCM 527 and 535

(i) The LCM of 535 and 527 is associative

LCM of 527 and 535 = LCM of 535 and 527

Related Least Common Multiples of 527

Related Least Common Multiples of 535

Frequently Asked Questions on LCM of 527 and 535

1. What is the LCM of 527 and 535?

Answer: LCM of 527 and 535 is 281945.

2. What are the Factors of 527?

Answer: Factors of 527 are 1, 17, 31, 527. There are 4 integers that are factors of 527. The greatest factor of 527 is 527.

3. 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.

4. How to Find the LCM of 527 and 535?

Answer:

Least Common Multiple of 527 and 535 = 281945

Step 1: Find the prime factorization of 527

527 = 17 x 31

Step 2: Find the prime factorization of 535

535 = 5 x 107

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

LCM = 281945 = 5 x 17 x 31 x 107

Step 4: Therefore, the least common multiple of 527 and 535 is 281945.