Least Common Multiple of 526 and 529

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 529 the smallest integer that is 278254 that is divisible by both numbers.

Least Common Multiple (LCM) of 526 and 529 is 278254.

LCM(526,529) = 278254

LCM of 526 and 529

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

LCM of:
and

Least Common Multiple of 526 and 529

LCM of 526 and 529 is 278254

Least common multiple can be found by multiplying the highest exponent prime factors of 526 and 529. First we will calculate the prime factors of 526 and 529.

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 529


23 529
23 23
1

Prime factors of 529 are 23. Prime factorization of 529 in exponential form is:

529 = 232

Now multiplying the highest exponent prime factors to calculate the LCM of 526 and 529.

LCM(526,529) = 21×232×2631
LCM(526,529) = 278254

Factors of 526

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

1, 2, 263, 526

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1, 23, 529

Least Common Multiple of 526 and 529 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 529, than apply into the LCM equation.

GCF(526,529) = 1
LCM(526,529) = ( 526 × 529) / 1
LCM(526,529) = 278254 / 1
LCM(526,529) = 278254

Properties of LCM 526 and 529

(i) The LCM of 529 and 526 is associative

LCM of 526 and 529 = LCM of 529 and 526

Related Least Common Multiples of 526

Related Least Common Multiples of 529

Frequently Asked Questions on LCM of 526 and 529

1. What is the LCM of 526 and 529?

Answer: LCM of 526 and 529 is 278254.

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 529?

Answer: Factors of 529 are 1, 23, 529. There are 3 integers that are factors of 529. The greatest factor of 529 is 529.

4. How to Find the LCM of 526 and 529?

Answer:

Least Common Multiple of 526 and 529 = 278254

Step 1: Find the prime factorization of 526

526 = 2 x 263

Step 2: Find the prime factorization of 529

529 = 23 x 23

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

LCM = 278254 = 2 x 23 x 23 x 263

Step 4: Therefore, the least common multiple of 526 and 529 is 278254.