Least Common Multiple of 526 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 526 and 528 the smallest integer that is 138864 that is divisible by both numbers.

Least Common Multiple (LCM) of 526 and 528 is 138864.

LCM(526,528) = 138864

LCM of 526 and 528

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

LCM of:
and

Least Common Multiple of 526 and 528

LCM of 526 and 528 is 138864

Least common multiple can be found by multiplying the highest exponent prime factors of 526 and 528. First we will calculate the prime factors of 526 and 528.

Prime Factorization of 526


2 526
263 263
1

Prime factors of 526 are 2,263. Prime factorization of 526 in exponential form is:

526 = 21×2631

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 526 and 528.

LCM(526,528) = 24×31×111×2631
LCM(526,528) = 138864

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1, 2, 263, 526

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 526 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 526 and 528, than apply into the LCM equation.

GCF(526,528) = 2
LCM(526,528) = ( 526 × 528) / 2
LCM(526,528) = 277728 / 2
LCM(526,528) = 138864

Properties of LCM 526 and 528

(i) The LCM of 528 and 526 is associative

LCM of 526 and 528 = LCM of 528 and 526

Related Least Common Multiples of 526

Related Least Common Multiples of 528

Frequently Asked Questions on LCM of 526 and 528

1. What is the LCM of 526 and 528?

Answer: LCM of 526 and 528 is 138864.

2. What are the Factors of 526?

Answer: Factors of 526 are 1, 2, 263, 526. There are 4 integers that are factors of 526. The greatest factor of 526 is 526.

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 526 and 528?

Answer:

Least Common Multiple of 526 and 528 = 138864

Step 1: Find the prime factorization of 526

526 = 2 x 263

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 = 138864 = 2 x 2 x 2 x 2 x 3 x 11 x 263

Step 4: Therefore, the least common multiple of 526 and 528 is 138864.