Least Common Multiple of 4528 and 4536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4528 and 4536 the smallest integer that is 2567376 that is divisible by both numbers.

Least Common Multiple (LCM) of 4528 and 4536 is 2567376.

LCM(4528,4536) = 2567376

LCM of 4528 and 4536

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

LCM of:
and

Least Common Multiple of 4528 and 4536

LCM of 4528 and 4536 is 2567376

Least common multiple can be found by multiplying the highest exponent prime factors of 4528 and 4536. First we will calculate the prime factors of 4528 and 4536.

Prime Factorization of 4528


2 4528
2 2264
2 1132
2 566
283 283
1

Prime factors of 4528 are 2,283. Prime factorization of 4528 in exponential form is:

4528 = 24×2831

Prime Factorization of 4536


2 4536
2 2268
2 1134
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 4536 are 2, 3,7. Prime factorization of 4536 in exponential form is:

4536 = 23×34×71

Now multiplying the highest exponent prime factors to calculate the LCM of 4528 and 4536.

LCM(4528,4536) = 24×34×71×2831
LCM(4528,4536) = 2567376

Factors of 4528

List of positive integer factors of 4528 that divides 4528 without a remainder.

1, 2, 4, 8, 16, 283, 566, 1132, 2264, 4528

Factors of 4536

List of positive integer factors of 4536 that divides 4536 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 252, 324, 378, 504, 567, 648, 756, 1134, 1512, 2268, 4536

Least Common Multiple of 4528 and 4536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4528 and 4536, than apply into the LCM equation.

GCF(4528,4536) = 8
LCM(4528,4536) = ( 4528 × 4536) / 8
LCM(4528,4536) = 20539008 / 8
LCM(4528,4536) = 2567376

Properties of LCM 4528 and 4536

(i) The LCM of 4536 and 4528 is associative

LCM of 4528 and 4536 = LCM of 4536 and 4528

Related Least Common Multiples of 4528

Related Least Common Multiples of 4536

Frequently Asked Questions on LCM of 4528 and 4536

1. What is the LCM of 4528 and 4536?

Answer: LCM of 4528 and 4536 is 2567376.

2. What are the Factors of 4528?

Answer: Factors of 4528 are 1, 2, 4, 8, 16, 283, 566, 1132, 2264, 4528. There are 10 integers that are factors of 4528. The greatest factor of 4528 is 4528.

3. What are the Factors of 4536?

Answer: Factors of 4536 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 252, 324, 378, 504, 567, 648, 756, 1134, 1512, 2268, 4536. There are 40 integers that are factors of 4536. The greatest factor of 4536 is 4536.

4. How to Find the LCM of 4528 and 4536?

Answer:

Least Common Multiple of 4528 and 4536 = 2567376

Step 1: Find the prime factorization of 4528

4528 = 2 x 2 x 2 x 2 x 283

Step 2: Find the prime factorization of 4536

4536 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7

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

LCM = 2567376 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 283

Step 4: Therefore, the least common multiple of 4528 and 4536 is 2567376.