Least Common Multiple of 521 and 527

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 527 the smallest integer that is 274567 that is divisible by both numbers.

Least Common Multiple (LCM) of 521 and 527 is 274567.

LCM(521,527) = 274567

LCM of 521 and 527

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

LCM of:
and

Least Common Multiple of 521 and 527

LCM of 521 and 527 is 274567

Least common multiple can be found by multiplying the highest exponent prime factors of 521 and 527. First we will calculate the prime factors of 521 and 527.

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 527


17 527
31 31
1

Prime factors of 527 are 17,31. Prime factorization of 527 in exponential form is:

527 = 171×311

Now multiplying the highest exponent prime factors to calculate the LCM of 521 and 527.

LCM(521,527) = 171×311×5211
LCM(521,527) = 274567

Factors of 521

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

1, 521

Factors of 527

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

1, 17, 31, 527

Least Common Multiple of 521 and 527 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 527, than apply into the LCM equation.

GCF(521,527) = 1
LCM(521,527) = ( 521 × 527) / 1
LCM(521,527) = 274567 / 1
LCM(521,527) = 274567

Properties of LCM 521 and 527

(i) The LCM of 527 and 521 is associative

LCM of 521 and 527 = LCM of 527 and 521

Related Least Common Multiples of 521

Related Least Common Multiples of 527

Frequently Asked Questions on LCM of 521 and 527

1. What is the LCM of 521 and 527?

Answer: LCM of 521 and 527 is 274567.

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 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.

4. How to Find the LCM of 521 and 527?

Answer:

Least Common Multiple of 521 and 527 = 274567

Step 1: Find the prime factorization of 521

521 = 521

Step 2: Find the prime factorization of 527

527 = 17 x 31

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

LCM = 274567 = 17 x 31 x 521

Step 4: Therefore, the least common multiple of 521 and 527 is 274567.