Least Common Multiple of 4532 and 4536

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 4536 the smallest integer that is 5139288 that is divisible by both numbers.

Least Common Multiple (LCM) of 4532 and 4536 is 5139288.

LCM(4532,4536) = 5139288

LCM of 4532 and 4536

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

LCM of:
and

Least Common Multiple of 4532 and 4536

LCM of 4532 and 4536 is 5139288

Least common multiple can be found by multiplying the highest exponent prime factors of 4532 and 4536. First we will calculate the prime factors of 4532 and 4536.

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 4536


2 4536
2 2268
2 1134
3 567
3 189
3 63
3 21
7 7
1

Prime factors of 4536 are 2, 3,7. Prime factorization of 4536 in exponential form is:

4536 = 23×34×71

Now multiplying the highest exponent prime factors to calculate the LCM of 4532 and 4536.

LCM(4532,4536) = 23×34×71×111×1031
LCM(4532,4536) = 5139288

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 4536

List of positive integer factors of 4536 that divides 4536 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 252, 324, 378, 504, 567, 648, 756, 1134, 1512, 2268, 4536

Least Common Multiple of 4532 and 4536 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 4536, than apply into the LCM equation.

GCF(4532,4536) = 4
LCM(4532,4536) = ( 4532 × 4536) / 4
LCM(4532,4536) = 20557152 / 4
LCM(4532,4536) = 5139288

Properties of LCM 4532 and 4536

(i) The LCM of 4536 and 4532 is associative

LCM of 4532 and 4536 = LCM of 4536 and 4532

Related Least Common Multiples of 4532

Related Least Common Multiples of 4536

Frequently Asked Questions on LCM of 4532 and 4536

1. What is the LCM of 4532 and 4536?

Answer: LCM of 4532 and 4536 is 5139288.

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 4536?

Answer: Factors of 4536 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 252, 324, 378, 504, 567, 648, 756, 1134, 1512, 2268, 4536. There are 40 integers that are factors of 4536. The greatest factor of 4536 is 4536.

4. How to Find the LCM of 4532 and 4536?

Answer:

Least Common Multiple of 4532 and 4536 = 5139288

Step 1: Find the prime factorization of 4532

4532 = 2 x 2 x 11 x 103

Step 2: Find the prime factorization of 4536

4536 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7

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

LCM = 5139288 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 11 x 103

Step 4: Therefore, the least common multiple of 4532 and 4536 is 5139288.