Least Common Multiple of 4520 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 4520 and 4528 the smallest integer that is 2558320 that is divisible by both numbers.

Least Common Multiple (LCM) of 4520 and 4528 is 2558320.

LCM(4520,4528) = 2558320

LCM of 4520 and 4528

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

LCM of:
and

Least Common Multiple of 4520 and 4528

LCM of 4520 and 4528 is 2558320

Least common multiple can be found by multiplying the highest exponent prime factors of 4520 and 4528. First we will calculate the prime factors of 4520 and 4528.

Prime Factorization of 4520


2 4520
2 2260
2 1130
5 565
113 113
1

Prime factors of 4520 are 2, 5,113. Prime factorization of 4520 in exponential form is:

4520 = 23×51×1131

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 4520 and 4528.

LCM(4520,4528) = 24×51×1131×2831
LCM(4520,4528) = 2558320

Factors of 4520

List of positive integer factors of 4520 that divides 4520 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 113, 226, 452, 565, 904, 1130, 2260, 4520

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 4520 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 4520 and 4528, than apply into the LCM equation.

GCF(4520,4528) = 8
LCM(4520,4528) = ( 4520 × 4528) / 8
LCM(4520,4528) = 20466560 / 8
LCM(4520,4528) = 2558320

Properties of LCM 4520 and 4528

(i) The LCM of 4528 and 4520 is associative

LCM of 4520 and 4528 = LCM of 4528 and 4520

Related Least Common Multiples of 4520

Related Least Common Multiples of 4528

Frequently Asked Questions on LCM of 4520 and 4528

1. What is the LCM of 4520 and 4528?

Answer: LCM of 4520 and 4528 is 2558320.

2. What are the Factors of 4520?

Answer: Factors of 4520 are 1, 2, 4, 5, 8, 10, 20, 40, 113, 226, 452, 565, 904, 1130, 2260, 4520. There are 16 integers that are factors of 4520. The greatest factor of 4520 is 4520.

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 4520 and 4528?

Answer:

Least Common Multiple of 4520 and 4528 = 2558320

Step 1: Find the prime factorization of 4520

4520 = 2 x 2 x 2 x 5 x 113

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 = 2558320 = 2 x 2 x 2 x 2 x 5 x 113 x 283

Step 4: Therefore, the least common multiple of 4520 and 4528 is 2558320.