Least Common Multiple of 4528 and 4534

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 4534 the smallest integer that is 10264976 that is divisible by both numbers.

Least Common Multiple (LCM) of 4528 and 4534 is 10264976.

LCM(4528,4534) = 10264976

LCM of 4528 and 4534

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

LCM of:
and

Least Common Multiple of 4528 and 4534

LCM of 4528 and 4534 is 10264976

Least common multiple can be found by multiplying the highest exponent prime factors of 4528 and 4534. First we will calculate the prime factors of 4528 and 4534.

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 4534


2 4534
2267 2267
1

Prime factors of 4534 are 2,2267. Prime factorization of 4534 in exponential form is:

4534 = 21×22671

Now multiplying the highest exponent prime factors to calculate the LCM of 4528 and 4534.

LCM(4528,4534) = 24×2831×22671
LCM(4528,4534) = 10264976

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 4534

List of positive integer factors of 4534 that divides 4534 without a remainder.

1, 2, 2267, 4534

Least Common Multiple of 4528 and 4534 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 4534, than apply into the LCM equation.

GCF(4528,4534) = 2
LCM(4528,4534) = ( 4528 × 4534) / 2
LCM(4528,4534) = 20529952 / 2
LCM(4528,4534) = 10264976

Properties of LCM 4528 and 4534

(i) The LCM of 4534 and 4528 is associative

LCM of 4528 and 4534 = LCM of 4534 and 4528

Related Least Common Multiples of 4528

Related Least Common Multiples of 4534

Frequently Asked Questions on LCM of 4528 and 4534

1. What is the LCM of 4528 and 4534?

Answer: LCM of 4528 and 4534 is 10264976.

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 4534?

Answer: Factors of 4534 are 1, 2, 2267, 4534. There are 4 integers that are factors of 4534. The greatest factor of 4534 is 4534.

4. How to Find the LCM of 4528 and 4534?

Answer:

Least Common Multiple of 4528 and 4534 = 10264976

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 4534

4534 = 2 x 2267

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

LCM = 10264976 = 2 x 2 x 2 x 2 x 283 x 2267

Step 4: Therefore, the least common multiple of 4528 and 4534 is 10264976.