Least Common Multiple of 4885 and 4890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4885 and 4890 the smallest integer that is 4777530 that is divisible by both numbers.

Least Common Multiple (LCM) of 4885 and 4890 is 4777530.

LCM(4885,4890) = 4777530

LCM of 4885 and 4890

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

LCM of:
and

Least Common Multiple of 4885 and 4890

LCM of 4885 and 4890 is 4777530

Least common multiple can be found by multiplying the highest exponent prime factors of 4885 and 4890. First we will calculate the prime factors of 4885 and 4890.

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

Prime Factorization of 4890


2 4890
3 2445
5 815
163 163
1

Prime factors of 4890 are 2, 3, 5,163. Prime factorization of 4890 in exponential form is:

4890 = 21×31×51×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 4885 and 4890.

LCM(4885,4890) = 21×31×51×1631×9771
LCM(4885,4890) = 4777530

Factors of 4885

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

1, 5, 977, 4885

Factors of 4890

List of positive integer factors of 4890 that divides 4890 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 163, 326, 489, 815, 978, 1630, 2445, 4890

Least Common Multiple of 4885 and 4890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4885 and 4890, than apply into the LCM equation.

GCF(4885,4890) = 5
LCM(4885,4890) = ( 4885 × 4890) / 5
LCM(4885,4890) = 23887650 / 5
LCM(4885,4890) = 4777530

Properties of LCM 4885 and 4890

(i) The LCM of 4890 and 4885 is associative

LCM of 4885 and 4890 = LCM of 4890 and 4885

Related Least Common Multiples of 4885

Related Least Common Multiples of 4890

Frequently Asked Questions on LCM of 4885 and 4890

1. What is the LCM of 4885 and 4890?

Answer: LCM of 4885 and 4890 is 4777530.

2. 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.

3. What are the Factors of 4890?

Answer: Factors of 4890 are 1, 2, 3, 5, 6, 10, 15, 30, 163, 326, 489, 815, 978, 1630, 2445, 4890. There are 16 integers that are factors of 4890. The greatest factor of 4890 is 4890.

4. How to Find the LCM of 4885 and 4890?

Answer:

Least Common Multiple of 4885 and 4890 = 4777530

Step 1: Find the prime factorization of 4885

4885 = 5 x 977

Step 2: Find the prime factorization of 4890

4890 = 2 x 3 x 5 x 163

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

LCM = 4777530 = 2 x 3 x 5 x 163 x 977

Step 4: Therefore, the least common multiple of 4885 and 4890 is 4777530.