Least Common Multiple of 4530 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 4530 and 4536 the smallest integer that is 3424680 that is divisible by both numbers.

Least Common Multiple (LCM) of 4530 and 4536 is 3424680.

LCM(4530,4536) = 3424680

LCM of 4530 and 4536

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

LCM of:
and

Least Common Multiple of 4530 and 4536

LCM of 4530 and 4536 is 3424680

Least common multiple can be found by multiplying the highest exponent prime factors of 4530 and 4536. First we will calculate the prime factors of 4530 and 4536.

Prime Factorization of 4530


2 4530
3 2265
5 755
151 151
1

Prime factors of 4530 are 2, 3, 5,151. Prime factorization of 4530 in exponential form is:

4530 = 21×31×51×1511

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 4530 and 4536.

LCM(4530,4536) = 23×34×51×71×1511
LCM(4530,4536) = 3424680

Factors of 4530

List of positive integer factors of 4530 that divides 4530 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 151, 302, 453, 755, 906, 1510, 2265, 4530

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 4530 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 4530 and 4536, than apply into the LCM equation.

GCF(4530,4536) = 6
LCM(4530,4536) = ( 4530 × 4536) / 6
LCM(4530,4536) = 20548080 / 6
LCM(4530,4536) = 3424680

Properties of LCM 4530 and 4536

(i) The LCM of 4536 and 4530 is associative

LCM of 4530 and 4536 = LCM of 4536 and 4530

Related Least Common Multiples of 4530

Related Least Common Multiples of 4536

Frequently Asked Questions on LCM of 4530 and 4536

1. What is the LCM of 4530 and 4536?

Answer: LCM of 4530 and 4536 is 3424680.

2. What are the Factors of 4530?

Answer: Factors of 4530 are 1, 2, 3, 5, 6, 10, 15, 30, 151, 302, 453, 755, 906, 1510, 2265, 4530. There are 16 integers that are factors of 4530. The greatest factor of 4530 is 4530.

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 4530 and 4536?

Answer:

Least Common Multiple of 4530 and 4536 = 3424680

Step 1: Find the prime factorization of 4530

4530 = 2 x 3 x 5 x 151

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 = 3424680 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 151

Step 4: Therefore, the least common multiple of 4530 and 4536 is 3424680.