Least Common Multiple of 4560 and 4565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4560 and 4565 the smallest integer that is 4163280 that is divisible by both numbers.

Least Common Multiple (LCM) of 4560 and 4565 is 4163280.

LCM(4560,4565) = 4163280

LCM of 4560 and 4565

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

LCM of:
and

Least Common Multiple of 4560 and 4565

LCM of 4560 and 4565 is 4163280

Least common multiple can be found by multiplying the highest exponent prime factors of 4560 and 4565. First we will calculate the prime factors of 4560 and 4565.

Prime Factorization of 4560


2 4560
2 2280
2 1140
2 570
3 285
5 95
19 19
1

Prime factors of 4560 are 2, 3, 5,19. Prime factorization of 4560 in exponential form is:

4560 = 24×31×51×191

Prime Factorization of 4565


5 4565
11 913
83 83
1

Prime factors of 4565 are 5, 11,83. Prime factorization of 4565 in exponential form is:

4565 = 51×111×831

Now multiplying the highest exponent prime factors to calculate the LCM of 4560 and 4565.

LCM(4560,4565) = 24×31×51×111×191×831
LCM(4560,4565) = 4163280

Factors of 4560

List of positive integer factors of 4560 that divides 4560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 38, 40, 48, 57, 60, 76, 80, 95, 114, 120, 152, 190, 228, 240, 285, 304, 380, 456, 570, 760, 912, 1140, 1520, 2280, 4560

Factors of 4565

List of positive integer factors of 4565 that divides 4565 without a remainder.

1, 5, 11, 55, 83, 415, 913, 4565

Least Common Multiple of 4560 and 4565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4560 and 4565, than apply into the LCM equation.

GCF(4560,4565) = 5
LCM(4560,4565) = ( 4560 × 4565) / 5
LCM(4560,4565) = 20816400 / 5
LCM(4560,4565) = 4163280

Properties of LCM 4560 and 4565

(i) The LCM of 4565 and 4560 is associative

LCM of 4560 and 4565 = LCM of 4565 and 4560

Related Least Common Multiples of 4560

Related Least Common Multiples of 4565

Frequently Asked Questions on LCM of 4560 and 4565

1. What is the LCM of 4560 and 4565?

Answer: LCM of 4560 and 4565 is 4163280.

2. What are the Factors of 4560?

Answer: Factors of 4560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 38, 40, 48, 57, 60, 76, 80, 95, 114, 120, 152, 190, 228, 240, 285, 304, 380, 456, 570, 760, 912, 1140, 1520, 2280, 4560. There are 40 integers that are factors of 4560. The greatest factor of 4560 is 4560.

3. What are the Factors of 4565?

Answer: Factors of 4565 are 1, 5, 11, 55, 83, 415, 913, 4565. There are 8 integers that are factors of 4565. The greatest factor of 4565 is 4565.

4. How to Find the LCM of 4560 and 4565?

Answer:

Least Common Multiple of 4560 and 4565 = 4163280

Step 1: Find the prime factorization of 4560

4560 = 2 x 2 x 2 x 2 x 3 x 5 x 19

Step 2: Find the prime factorization of 4565

4565 = 5 x 11 x 83

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

LCM = 4163280 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 19 x 83

Step 4: Therefore, the least common multiple of 4560 and 4565 is 4163280.