Least Common Multiple of 524 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 524 and 527 the smallest integer that is 276148 that is divisible by both numbers.

Least Common Multiple (LCM) of 524 and 527 is 276148.

LCM(524,527) = 276148

LCM of 524 and 527

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

LCM of:
and

Least Common Multiple of 524 and 527

LCM of 524 and 527 is 276148

Least common multiple can be found by multiplying the highest exponent prime factors of 524 and 527. First we will calculate the prime factors of 524 and 527.

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 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 524 and 527.

LCM(524,527) = 22×171×311×1311
LCM(524,527) = 276148

Factors of 524

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

1, 2, 4, 131, 262, 524

Factors of 527

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

1, 17, 31, 527

Least Common Multiple of 524 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 524 and 527, than apply into the LCM equation.

GCF(524,527) = 1
LCM(524,527) = ( 524 × 527) / 1
LCM(524,527) = 276148 / 1
LCM(524,527) = 276148

Properties of LCM 524 and 527

(i) The LCM of 527 and 524 is associative

LCM of 524 and 527 = LCM of 527 and 524

Related Least Common Multiples of 524

Related Least Common Multiples of 527

Frequently Asked Questions on LCM of 524 and 527

1. What is the LCM of 524 and 527?

Answer: LCM of 524 and 527 is 276148.

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 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 524 and 527?

Answer:

Least Common Multiple of 524 and 527 = 276148

Step 1: Find the prime factorization of 524

524 = 2 x 2 x 131

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 = 276148 = 2 x 2 x 17 x 31 x 131

Step 4: Therefore, the least common multiple of 524 and 527 is 276148.