Least Common Multiple of 527 and 528

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 528 the smallest integer that is 278256 that is divisible by both numbers.

Least Common Multiple (LCM) of 527 and 528 is 278256.

LCM(527,528) = 278256

LCM of 527 and 528

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

LCM of:
and

Least Common Multiple of 527 and 528

LCM of 527 and 528 is 278256

Least common multiple can be found by multiplying the highest exponent prime factors of 527 and 528. First we will calculate the prime factors of 527 and 528.

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 528


2 528
2 264
2 132
2 66
3 33
11 11
1

Prime factors of 528 are 2, 3,11. Prime factorization of 528 in exponential form is:

528 = 24×31×111

Now multiplying the highest exponent prime factors to calculate the LCM of 527 and 528.

LCM(527,528) = 24×31×111×171×311
LCM(527,528) = 278256

Factors of 527

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

1, 17, 31, 527

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Least Common Multiple of 527 and 528 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 528, than apply into the LCM equation.

GCF(527,528) = 1
LCM(527,528) = ( 527 × 528) / 1
LCM(527,528) = 278256 / 1
LCM(527,528) = 278256

Properties of LCM 527 and 528

(i) The LCM of 528 and 527 is associative

LCM of 527 and 528 = LCM of 528 and 527

Related Least Common Multiples of 527

Related Least Common Multiples of 528

Frequently Asked Questions on LCM of 527 and 528

1. What is the LCM of 527 and 528?

Answer: LCM of 527 and 528 is 278256.

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 528?

Answer: Factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528. There are 20 integers that are factors of 528. The greatest factor of 528 is 528.

4. How to Find the LCM of 527 and 528?

Answer:

Least Common Multiple of 527 and 528 = 278256

Step 1: Find the prime factorization of 527

527 = 17 x 31

Step 2: Find the prime factorization of 528

528 = 2 x 2 x 2 x 2 x 3 x 11

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

LCM = 278256 = 2 x 2 x 2 x 2 x 3 x 11 x 17 x 31

Step 4: Therefore, the least common multiple of 527 and 528 is 278256.