Least Common Multiple of 528 and 536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 528 and 536 the smallest integer that is 35376 that is divisible by both numbers.

Least Common Multiple (LCM) of 528 and 536 is 35376.

LCM(528,536) = 35376

LCM of 528 and 536

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

LCM of:
and

Least Common Multiple of 528 and 536

LCM of 528 and 536 is 35376

Least common multiple can be found by multiplying the highest exponent prime factors of 528 and 536. First we will calculate the prime factors of 528 and 536.

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

Prime Factorization of 536


2 536
2 268
2 134
67 67
1

Prime factors of 536 are 2,67. Prime factorization of 536 in exponential form is:

536 = 23×671

Now multiplying the highest exponent prime factors to calculate the LCM of 528 and 536.

LCM(528,536) = 24×31×111×671
LCM(528,536) = 35376

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

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Least Common Multiple of 528 and 536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 528 and 536, than apply into the LCM equation.

GCF(528,536) = 8
LCM(528,536) = ( 528 × 536) / 8
LCM(528,536) = 283008 / 8
LCM(528,536) = 35376

Properties of LCM 528 and 536

(i) The LCM of 536 and 528 is associative

LCM of 528 and 536 = LCM of 536 and 528

Related Least Common Multiples of 528

Related Least Common Multiples of 536

Frequently Asked Questions on LCM of 528 and 536

1. What is the LCM of 528 and 536?

Answer: LCM of 528 and 536 is 35376.

2. 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.

3. What are the Factors of 536?

Answer: Factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536. There are 8 integers that are factors of 536. The greatest factor of 536 is 536.

4. How to Find the LCM of 528 and 536?

Answer:

Least Common Multiple of 528 and 536 = 35376

Step 1: Find the prime factorization of 528

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

Step 2: Find the prime factorization of 536

536 = 2 x 2 x 2 x 67

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

LCM = 35376 = 2 x 2 x 2 x 2 x 3 x 11 x 67

Step 4: Therefore, the least common multiple of 528 and 536 is 35376.