Least Common Multiple of 4528 and 4532

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 4532 the smallest integer that is 5130224 that is divisible by both numbers.

Least Common Multiple (LCM) of 4528 and 4532 is 5130224.

LCM(4528,4532) = 5130224

LCM of 4528 and 4532

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

LCM of:
and

Least Common Multiple of 4528 and 4532

LCM of 4528 and 4532 is 5130224

Least common multiple can be found by multiplying the highest exponent prime factors of 4528 and 4532. First we will calculate the prime factors of 4528 and 4532.

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 4532


2 4532
2 2266
11 1133
103 103
1

Prime factors of 4532 are 2, 11,103. Prime factorization of 4532 in exponential form is:

4532 = 22×111×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 4528 and 4532.

LCM(4528,4532) = 24×111×1031×2831
LCM(4528,4532) = 5130224

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 4532

List of positive integer factors of 4532 that divides 4532 without a remainder.

1, 2, 4, 11, 22, 44, 103, 206, 412, 1133, 2266, 4532

Least Common Multiple of 4528 and 4532 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 4532, than apply into the LCM equation.

GCF(4528,4532) = 4
LCM(4528,4532) = ( 4528 × 4532) / 4
LCM(4528,4532) = 20520896 / 4
LCM(4528,4532) = 5130224

Properties of LCM 4528 and 4532

(i) The LCM of 4532 and 4528 is associative

LCM of 4528 and 4532 = LCM of 4532 and 4528

Related Least Common Multiples of 4528

Related Least Common Multiples of 4532

Frequently Asked Questions on LCM of 4528 and 4532

1. What is the LCM of 4528 and 4532?

Answer: LCM of 4528 and 4532 is 5130224.

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 4532?

Answer: Factors of 4532 are 1, 2, 4, 11, 22, 44, 103, 206, 412, 1133, 2266, 4532. There are 12 integers that are factors of 4532. The greatest factor of 4532 is 4532.

4. How to Find the LCM of 4528 and 4532?

Answer:

Least Common Multiple of 4528 and 4532 = 5130224

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 4532

4532 = 2 x 2 x 11 x 103

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

LCM = 5130224 = 2 x 2 x 2 x 2 x 11 x 103 x 283

Step 4: Therefore, the least common multiple of 4528 and 4532 is 5130224.