Least Common Multiple of 523 and 528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 523 and 528 the smallest integer that is 276144 that is divisible by both numbers.

Least Common Multiple (LCM) of 523 and 528 is 276144.

LCM(523,528) = 276144

LCM of 523 and 528

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

LCM of:
and

Least Common Multiple of 523 and 528

LCM of 523 and 528 is 276144

Least common multiple can be found by multiplying the highest exponent prime factors of 523 and 528. First we will calculate the prime factors of 523 and 528.

Prime Factorization of 523


523 523
1

Prime factors of 523 are 523. Prime factorization of 523 in exponential form is:

523 = 5231

Prime Factorization of 528


2 528
2 264
2 132
2 66
3 33
11 11
1

Prime factors of 528 are 2, 3,11. Prime factorization of 528 in exponential form is:

528 = 24×31×111

Now multiplying the highest exponent prime factors to calculate the LCM of 523 and 528.

LCM(523,528) = 24×31×111×5231
LCM(523,528) = 276144

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1, 523

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Least Common Multiple of 523 and 528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 523 and 528, than apply into the LCM equation.

GCF(523,528) = 1
LCM(523,528) = ( 523 × 528) / 1
LCM(523,528) = 276144 / 1
LCM(523,528) = 276144

Properties of LCM 523 and 528

(i) The LCM of 528 and 523 is associative

LCM of 523 and 528 = LCM of 528 and 523

Related Least Common Multiples of 523

Related Least Common Multiples of 528

Frequently Asked Questions on LCM of 523 and 528

1. What is the LCM of 523 and 528?

Answer: LCM of 523 and 528 is 276144.

2. What are the Factors of 523?

Answer: Factors of 523 are 1, 523. There are 2 integers that are factors of 523. The greatest factor of 523 is 523.

3. What are the Factors of 528?

Answer: Factors of 528 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528. There are 20 integers that are factors of 528. The greatest factor of 528 is 528.

4. How to Find the LCM of 523 and 528?

Answer:

Least Common Multiple of 523 and 528 = 276144

Step 1: Find the prime factorization of 523

523 = 523

Step 2: Find the prime factorization of 528

528 = 2 x 2 x 2 x 2 x 3 x 11

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

LCM = 276144 = 2 x 2 x 2 x 2 x 3 x 11 x 523

Step 4: Therefore, the least common multiple of 523 and 528 is 276144.