Least Common Multiple of 4536 and 4542

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 4542 the smallest integer that is 3433752 that is divisible by both numbers.

Least Common Multiple (LCM) of 4536 and 4542 is 3433752.

LCM(4536,4542) = 3433752

LCM of 4536 and 4542

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

LCM of:
and

Least Common Multiple of 4536 and 4542

LCM of 4536 and 4542 is 3433752

Least common multiple can be found by multiplying the highest exponent prime factors of 4536 and 4542. First we will calculate the prime factors of 4536 and 4542.

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 4542


2 4542
3 2271
757 757
1

Prime factors of 4542 are 2, 3,757. Prime factorization of 4542 in exponential form is:

4542 = 21×31×7571

Now multiplying the highest exponent prime factors to calculate the LCM of 4536 and 4542.

LCM(4536,4542) = 23×34×71×7571
LCM(4536,4542) = 3433752

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 4542

List of positive integer factors of 4542 that divides 4542 without a remainder.

1, 2, 3, 6, 757, 1514, 2271, 4542

Least Common Multiple of 4536 and 4542 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 4542, than apply into the LCM equation.

GCF(4536,4542) = 6
LCM(4536,4542) = ( 4536 × 4542) / 6
LCM(4536,4542) = 20602512 / 6
LCM(4536,4542) = 3433752

Properties of LCM 4536 and 4542

(i) The LCM of 4542 and 4536 is associative

LCM of 4536 and 4542 = LCM of 4542 and 4536

Related Least Common Multiples of 4536

Related Least Common Multiples of 4542

Frequently Asked Questions on LCM of 4536 and 4542

1. What is the LCM of 4536 and 4542?

Answer: LCM of 4536 and 4542 is 3433752.

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 4542?

Answer: Factors of 4542 are 1, 2, 3, 6, 757, 1514, 2271, 4542. There are 8 integers that are factors of 4542. The greatest factor of 4542 is 4542.

4. How to Find the LCM of 4536 and 4542?

Answer:

Least Common Multiple of 4536 and 4542 = 3433752

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 4542

4542 = 2 x 3 x 757

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

LCM = 3433752 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 757

Step 4: Therefore, the least common multiple of 4536 and 4542 is 3433752.