Least Common Multiple of 4536 and 4541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4536 and 4541 the smallest integer that is 20597976 that is divisible by both numbers.

Least Common Multiple (LCM) of 4536 and 4541 is 20597976.

LCM(4536,4541) = 20597976

LCM of 4536 and 4541

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

LCM of:
and

Least Common Multiple of 4536 and 4541

LCM of 4536 and 4541 is 20597976

Least common multiple can be found by multiplying the highest exponent prime factors of 4536 and 4541. First we will calculate the prime factors of 4536 and 4541.

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

Prime Factorization of 4541


19 4541
239 239
1

Prime factors of 4541 are 19,239. Prime factorization of 4541 in exponential form is:

4541 = 191×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 4536 and 4541.

LCM(4536,4541) = 23×34×71×191×2391
LCM(4536,4541) = 20597976

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

Factors of 4541

List of positive integer factors of 4541 that divides 4541 without a remainder.

1, 19, 239, 4541

Least Common Multiple of 4536 and 4541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4536 and 4541, than apply into the LCM equation.

GCF(4536,4541) = 1
LCM(4536,4541) = ( 4536 × 4541) / 1
LCM(4536,4541) = 20597976 / 1
LCM(4536,4541) = 20597976

Properties of LCM 4536 and 4541

(i) The LCM of 4541 and 4536 is associative

LCM of 4536 and 4541 = LCM of 4541 and 4536

Related Least Common Multiples of 4536

Related Least Common Multiples of 4541

Frequently Asked Questions on LCM of 4536 and 4541

1. What is the LCM of 4536 and 4541?

Answer: LCM of 4536 and 4541 is 20597976.

2. 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.

3. What are the Factors of 4541?

Answer: Factors of 4541 are 1, 19, 239, 4541. There are 4 integers that are factors of 4541. The greatest factor of 4541 is 4541.

4. How to Find the LCM of 4536 and 4541?

Answer:

Least Common Multiple of 4536 and 4541 = 20597976

Step 1: Find the prime factorization of 4536

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

Step 2: Find the prime factorization of 4541

4541 = 19 x 239

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

LCM = 20597976 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 19 x 239

Step 4: Therefore, the least common multiple of 4536 and 4541 is 20597976.