Least Common Multiple of 4532 and 4538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4532 and 4538 the smallest integer that is 10283108 that is divisible by both numbers.

Least Common Multiple (LCM) of 4532 and 4538 is 10283108.

LCM(4532,4538) = 10283108

LCM of 4532 and 4538

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

LCM of:
and

Least Common Multiple of 4532 and 4538

LCM of 4532 and 4538 is 10283108

Least common multiple can be found by multiplying the highest exponent prime factors of 4532 and 4538. First we will calculate the prime factors of 4532 and 4538.

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

Prime Factorization of 4538


2 4538
2269 2269
1

Prime factors of 4538 are 2,2269. Prime factorization of 4538 in exponential form is:

4538 = 21×22691

Now multiplying the highest exponent prime factors to calculate the LCM of 4532 and 4538.

LCM(4532,4538) = 22×111×1031×22691
LCM(4532,4538) = 10283108

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

Factors of 4538

List of positive integer factors of 4538 that divides 4538 without a remainder.

1, 2, 2269, 4538

Least Common Multiple of 4532 and 4538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4532 and 4538, than apply into the LCM equation.

GCF(4532,4538) = 2
LCM(4532,4538) = ( 4532 × 4538) / 2
LCM(4532,4538) = 20566216 / 2
LCM(4532,4538) = 10283108

Properties of LCM 4532 and 4538

(i) The LCM of 4538 and 4532 is associative

LCM of 4532 and 4538 = LCM of 4538 and 4532

Related Least Common Multiples of 4532

Related Least Common Multiples of 4538

Frequently Asked Questions on LCM of 4532 and 4538

1. What is the LCM of 4532 and 4538?

Answer: LCM of 4532 and 4538 is 10283108.

2. 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.

3. What are the Factors of 4538?

Answer: Factors of 4538 are 1, 2, 2269, 4538. There are 4 integers that are factors of 4538. The greatest factor of 4538 is 4538.

4. How to Find the LCM of 4532 and 4538?

Answer:

Least Common Multiple of 4532 and 4538 = 10283108

Step 1: Find the prime factorization of 4532

4532 = 2 x 2 x 11 x 103

Step 2: Find the prime factorization of 4538

4538 = 2 x 2269

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

LCM = 10283108 = 2 x 2 x 11 x 103 x 2269

Step 4: Therefore, the least common multiple of 4532 and 4538 is 10283108.