Least Common Multiple of 4523 and 4528

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4523 and 4528 the smallest integer that is 20480144 that is divisible by both numbers.

Least Common Multiple (LCM) of 4523 and 4528 is 20480144.

LCM(4523,4528) = 20480144

LCM of 4523 and 4528

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

LCM of:
and

Least Common Multiple of 4523 and 4528

LCM of 4523 and 4528 is 20480144

Least common multiple can be found by multiplying the highest exponent prime factors of 4523 and 4528. First we will calculate the prime factors of 4523 and 4528.

Prime Factorization of 4523


4523 4523
1

Prime factors of 4523 are 4523. Prime factorization of 4523 in exponential form is:

4523 = 45231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4523 and 4528.

LCM(4523,4528) = 24×2831×45231
LCM(4523,4528) = 20480144

Factors of 4523

List of positive integer factors of 4523 that divides 4523 without a remainder.

1, 4523

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

Least Common Multiple of 4523 and 4528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4523 and 4528, than apply into the LCM equation.

GCF(4523,4528) = 1
LCM(4523,4528) = ( 4523 × 4528) / 1
LCM(4523,4528) = 20480144 / 1
LCM(4523,4528) = 20480144

Properties of LCM 4523 and 4528

(i) The LCM of 4528 and 4523 is associative

LCM of 4523 and 4528 = LCM of 4528 and 4523

Related Least Common Multiples of 4523

Related Least Common Multiples of 4528

Frequently Asked Questions on LCM of 4523 and 4528

1. What is the LCM of 4523 and 4528?

Answer: LCM of 4523 and 4528 is 20480144.

2. What are the Factors of 4523?

Answer: Factors of 4523 are 1, 4523. There are 2 integers that are factors of 4523. The greatest factor of 4523 is 4523.

3. 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.

4. How to Find the LCM of 4523 and 4528?

Answer:

Least Common Multiple of 4523 and 4528 = 20480144

Step 1: Find the prime factorization of 4523

4523 = 4523

Step 2: Find the prime factorization of 4528

4528 = 2 x 2 x 2 x 2 x 283

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

LCM = 20480144 = 2 x 2 x 2 x 2 x 283 x 4523

Step 4: Therefore, the least common multiple of 4523 and 4528 is 20480144.