Least Common Multiple of 521 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 521 and 526 the smallest integer that is 274046 that is divisible by both numbers.

Least Common Multiple (LCM) of 521 and 526 is 274046.

LCM(521,526) = 274046

LCM of 521 and 526

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

LCM of:
and

Least Common Multiple of 521 and 526

LCM of 521 and 526 is 274046

Least common multiple can be found by multiplying the highest exponent prime factors of 521 and 526. First we will calculate the prime factors of 521 and 526.

Prime Factorization of 521


521 521
1

Prime factors of 521 are 521. Prime factorization of 521 in exponential form is:

521 = 5211

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 521 and 526.

LCM(521,526) = 21×2631×5211
LCM(521,526) = 274046

Factors of 521

List of positive integer factors of 521 that divides 521 without a remainder.

1, 521

Factors of 526

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

1, 2, 263, 526

Least Common Multiple of 521 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 521 and 526, than apply into the LCM equation.

GCF(521,526) = 1
LCM(521,526) = ( 521 × 526) / 1
LCM(521,526) = 274046 / 1
LCM(521,526) = 274046

Properties of LCM 521 and 526

(i) The LCM of 526 and 521 is associative

LCM of 521 and 526 = LCM of 526 and 521

Related Least Common Multiples of 521

Related Least Common Multiples of 526

Frequently Asked Questions on LCM of 521 and 526

1. What is the LCM of 521 and 526?

Answer: LCM of 521 and 526 is 274046.

2. What are the Factors of 521?

Answer: Factors of 521 are 1, 521. There are 2 integers that are factors of 521. The greatest factor of 521 is 521.

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 521 and 526?

Answer:

Least Common Multiple of 521 and 526 = 274046

Step 1: Find the prime factorization of 521

521 = 521

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 = 274046 = 2 x 263 x 521

Step 4: Therefore, the least common multiple of 521 and 526 is 274046.