Least Common Multiple of 524 and 526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 524 and 526 the smallest integer that is 137812 that is divisible by both numbers.

Least Common Multiple (LCM) of 524 and 526 is 137812.

LCM(524,526) = 137812

LCM of 524 and 526

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

LCM of:
and

Least Common Multiple of 524 and 526

LCM of 524 and 526 is 137812

Least common multiple can be found by multiplying the highest exponent prime factors of 524 and 526. First we will calculate the prime factors of 524 and 526.

Prime Factorization of 524


2 524
2 262
131 131
1

Prime factors of 524 are 2,131. Prime factorization of 524 in exponential form is:

524 = 22×1311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 524 and 526.

LCM(524,526) = 22×1311×2631
LCM(524,526) = 137812

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Factors of 526

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

1, 2, 263, 526

Least Common Multiple of 524 and 526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 524 and 526, than apply into the LCM equation.

GCF(524,526) = 2
LCM(524,526) = ( 524 × 526) / 2
LCM(524,526) = 275624 / 2
LCM(524,526) = 137812

Properties of LCM 524 and 526

(i) The LCM of 526 and 524 is associative

LCM of 524 and 526 = LCM of 526 and 524

Related Least Common Multiples of 524

Related Least Common Multiples of 526

Frequently Asked Questions on LCM of 524 and 526

1. What is the LCM of 524 and 526?

Answer: LCM of 524 and 526 is 137812.

2. What are the Factors of 524?

Answer: Factors of 524 are 1, 2, 4, 131, 262, 524. There are 6 integers that are factors of 524. The greatest factor of 524 is 524.

3. 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.

4. How to Find the LCM of 524 and 526?

Answer:

Least Common Multiple of 524 and 526 = 137812

Step 1: Find the prime factorization of 524

524 = 2 x 2 x 131

Step 2: Find the prime factorization of 526

526 = 2 x 263

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

LCM = 137812 = 2 x 2 x 131 x 263

Step 4: Therefore, the least common multiple of 524 and 526 is 137812.