Least Common Multiple of 4880 and 4887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4880 and 4887 the smallest integer that is 23848560 that is divisible by both numbers.

Least Common Multiple (LCM) of 4880 and 4887 is 23848560.

LCM(4880,4887) = 23848560

LCM of 4880 and 4887

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

LCM of:
and

Least Common Multiple of 4880 and 4887

LCM of 4880 and 4887 is 23848560

Least common multiple can be found by multiplying the highest exponent prime factors of 4880 and 4887. First we will calculate the prime factors of 4880 and 4887.

Prime Factorization of 4880


2 4880
2 2440
2 1220
2 610
5 305
61 61
1

Prime factors of 4880 are 2, 5,61. Prime factorization of 4880 in exponential form is:

4880 = 24×51×611

Prime Factorization of 4887


3 4887
3 1629
3 543
181 181
1

Prime factors of 4887 are 3,181. Prime factorization of 4887 in exponential form is:

4887 = 33×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 4880 and 4887.

LCM(4880,4887) = 24×33×51×611×1811
LCM(4880,4887) = 23848560

Factors of 4880

List of positive integer factors of 4880 that divides 4880 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 61, 80, 122, 244, 305, 488, 610, 976, 1220, 2440, 4880

Factors of 4887

List of positive integer factors of 4887 that divides 4887 without a remainder.

1, 3, 9, 27, 181, 543, 1629, 4887

Least Common Multiple of 4880 and 4887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4880 and 4887, than apply into the LCM equation.

GCF(4880,4887) = 1
LCM(4880,4887) = ( 4880 × 4887) / 1
LCM(4880,4887) = 23848560 / 1
LCM(4880,4887) = 23848560

Properties of LCM 4880 and 4887

(i) The LCM of 4887 and 4880 is associative

LCM of 4880 and 4887 = LCM of 4887 and 4880

Related Least Common Multiples of 4880

Related Least Common Multiples of 4887

Frequently Asked Questions on LCM of 4880 and 4887

1. What is the LCM of 4880 and 4887?

Answer: LCM of 4880 and 4887 is 23848560.

2. What are the Factors of 4880?

Answer: Factors of 4880 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 61, 80, 122, 244, 305, 488, 610, 976, 1220, 2440, 4880. There are 20 integers that are factors of 4880. The greatest factor of 4880 is 4880.

3. What are the Factors of 4887?

Answer: Factors of 4887 are 1, 3, 9, 27, 181, 543, 1629, 4887. There are 8 integers that are factors of 4887. The greatest factor of 4887 is 4887.

4. How to Find the LCM of 4880 and 4887?

Answer:

Least Common Multiple of 4880 and 4887 = 23848560

Step 1: Find the prime factorization of 4880

4880 = 2 x 2 x 2 x 2 x 5 x 61

Step 2: Find the prime factorization of 4887

4887 = 3 x 3 x 3 x 181

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

LCM = 23848560 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 61 x 181

Step 4: Therefore, the least common multiple of 4880 and 4887 is 23848560.