Least Common Multiple of 4534 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 4534 and 4536 the smallest integer that is 10283112 that is divisible by both numbers.

Least Common Multiple (LCM) of 4534 and 4536 is 10283112.

LCM(4534,4536) = 10283112

LCM of 4534 and 4536

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

LCM of:
and

Least Common Multiple of 4534 and 4536

LCM of 4534 and 4536 is 10283112

Least common multiple can be found by multiplying the highest exponent prime factors of 4534 and 4536. First we will calculate the prime factors of 4534 and 4536.

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

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 4534 and 4536.

LCM(4534,4536) = 23×34×71×22671
LCM(4534,4536) = 10283112

Factors of 4534

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

1, 2, 2267, 4534

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 4534 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 4534 and 4536, than apply into the LCM equation.

GCF(4534,4536) = 2
LCM(4534,4536) = ( 4534 × 4536) / 2
LCM(4534,4536) = 20566224 / 2
LCM(4534,4536) = 10283112

Properties of LCM 4534 and 4536

(i) The LCM of 4536 and 4534 is associative

LCM of 4534 and 4536 = LCM of 4536 and 4534

Related Least Common Multiples of 4534

Related Least Common Multiples of 4536

Frequently Asked Questions on LCM of 4534 and 4536

1. What is the LCM of 4534 and 4536?

Answer: LCM of 4534 and 4536 is 10283112.

2. 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.

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 4534 and 4536?

Answer:

Least Common Multiple of 4534 and 4536 = 10283112

Step 1: Find the prime factorization of 4534

4534 = 2 x 2267

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 = 10283112 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 2267

Step 4: Therefore, the least common multiple of 4534 and 4536 is 10283112.