Least Common Multiple of 4555 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 4555 and 4560 the smallest integer that is 4154160 that is divisible by both numbers.

Least Common Multiple (LCM) of 4555 and 4560 is 4154160.

LCM(4555,4560) = 4154160

LCM of 4555 and 4560

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

LCM of:
and

Least Common Multiple of 4555 and 4560

LCM of 4555 and 4560 is 4154160

Least common multiple can be found by multiplying the highest exponent prime factors of 4555 and 4560. First we will calculate the prime factors of 4555 and 4560.

Prime Factorization of 4555


5 4555
911 911
1

Prime factors of 4555 are 5,911. Prime factorization of 4555 in exponential form is:

4555 = 51×9111

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 4555 and 4560.

LCM(4555,4560) = 24×31×51×191×9111
LCM(4555,4560) = 4154160

Factors of 4555

List of positive integer factors of 4555 that divides 4555 without a remainder.

1, 5, 911, 4555

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 4555 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 4555 and 4560, than apply into the LCM equation.

GCF(4555,4560) = 5
LCM(4555,4560) = ( 4555 × 4560) / 5
LCM(4555,4560) = 20770800 / 5
LCM(4555,4560) = 4154160

Properties of LCM 4555 and 4560

(i) The LCM of 4560 and 4555 is associative

LCM of 4555 and 4560 = LCM of 4560 and 4555

Related Least Common Multiples of 4555

Related Least Common Multiples of 4560

Frequently Asked Questions on LCM of 4555 and 4560

1. What is the LCM of 4555 and 4560?

Answer: LCM of 4555 and 4560 is 4154160.

2. What are the Factors of 4555?

Answer: Factors of 4555 are 1, 5, 911, 4555. There are 4 integers that are factors of 4555. The greatest factor of 4555 is 4555.

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 4555 and 4560?

Answer:

Least Common Multiple of 4555 and 4560 = 4154160

Step 1: Find the prime factorization of 4555

4555 = 5 x 911

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 = 4154160 = 2 x 2 x 2 x 2 x 3 x 5 x 19 x 911

Step 4: Therefore, the least common multiple of 4555 and 4560 is 4154160.