Least Common Multiple of 4558 and 4560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4558 and 4560 the smallest integer that is 10392240 that is divisible by both numbers.

Least Common Multiple (LCM) of 4558 and 4560 is 10392240.

LCM(4558,4560) = 10392240

LCM of 4558 and 4560

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

LCM of:
and

Least Common Multiple of 4558 and 4560

LCM of 4558 and 4560 is 10392240

Least common multiple can be found by multiplying the highest exponent prime factors of 4558 and 4560. First we will calculate the prime factors of 4558 and 4560.

Prime Factorization of 4558


2 4558
43 2279
53 53
1

Prime factors of 4558 are 2, 43,53. Prime factorization of 4558 in exponential form is:

4558 = 21×431×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4558 and 4560.

LCM(4558,4560) = 24×31×51×191×431×531
LCM(4558,4560) = 10392240

Factors of 4558

List of positive integer factors of 4558 that divides 4558 without a remainder.

1, 2, 43, 53, 86, 106, 2279, 4558

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

Least Common Multiple of 4558 and 4560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4558 and 4560, than apply into the LCM equation.

GCF(4558,4560) = 2
LCM(4558,4560) = ( 4558 × 4560) / 2
LCM(4558,4560) = 20784480 / 2
LCM(4558,4560) = 10392240

Properties of LCM 4558 and 4560

(i) The LCM of 4560 and 4558 is associative

LCM of 4558 and 4560 = LCM of 4560 and 4558

Related Least Common Multiples of 4558

Related Least Common Multiples of 4560

Frequently Asked Questions on LCM of 4558 and 4560

1. What is the LCM of 4558 and 4560?

Answer: LCM of 4558 and 4560 is 10392240.

2. What are the Factors of 4558?

Answer: Factors of 4558 are 1, 2, 43, 53, 86, 106, 2279, 4558. There are 8 integers that are factors of 4558. The greatest factor of 4558 is 4558.

3. 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.

4. How to Find the LCM of 4558 and 4560?

Answer:

Least Common Multiple of 4558 and 4560 = 10392240

Step 1: Find the prime factorization of 4558

4558 = 2 x 43 x 53

Step 2: Find the prime factorization of 4560

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

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

LCM = 10392240 = 2 x 2 x 2 x 2 x 3 x 5 x 19 x 43 x 53

Step 4: Therefore, the least common multiple of 4558 and 4560 is 10392240.