Least Common Multiple of 4880 and 4885

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 4885 the smallest integer that is 4767760 that is divisible by both numbers.

Least Common Multiple (LCM) of 4880 and 4885 is 4767760.

LCM(4880,4885) = 4767760

LCM of 4880 and 4885

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

LCM of:
and

Least Common Multiple of 4880 and 4885

LCM of 4880 and 4885 is 4767760

Least common multiple can be found by multiplying the highest exponent prime factors of 4880 and 4885. First we will calculate the prime factors of 4880 and 4885.

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 4885


5 4885
977 977
1

Prime factors of 4885 are 5,977. Prime factorization of 4885 in exponential form is:

4885 = 51×9771

Now multiplying the highest exponent prime factors to calculate the LCM of 4880 and 4885.

LCM(4880,4885) = 24×51×611×9771
LCM(4880,4885) = 4767760

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 4885

List of positive integer factors of 4885 that divides 4885 without a remainder.

1, 5, 977, 4885

Least Common Multiple of 4880 and 4885 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 4885, than apply into the LCM equation.

GCF(4880,4885) = 5
LCM(4880,4885) = ( 4880 × 4885) / 5
LCM(4880,4885) = 23838800 / 5
LCM(4880,4885) = 4767760

Properties of LCM 4880 and 4885

(i) The LCM of 4885 and 4880 is associative

LCM of 4880 and 4885 = LCM of 4885 and 4880

Related Least Common Multiples of 4880

Related Least Common Multiples of 4885

Frequently Asked Questions on LCM of 4880 and 4885

1. What is the LCM of 4880 and 4885?

Answer: LCM of 4880 and 4885 is 4767760.

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 4885?

Answer: Factors of 4885 are 1, 5, 977, 4885. There are 4 integers that are factors of 4885. The greatest factor of 4885 is 4885.

4. How to Find the LCM of 4880 and 4885?

Answer:

Least Common Multiple of 4880 and 4885 = 4767760

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 4885

4885 = 5 x 977

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

LCM = 4767760 = 2 x 2 x 2 x 2 x 5 x 61 x 977

Step 4: Therefore, the least common multiple of 4880 and 4885 is 4767760.