Least Common Multiple of 4884 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 4884 and 4890 the smallest integer that is 3980460 that is divisible by both numbers.

Least Common Multiple (LCM) of 4884 and 4890 is 3980460.

LCM(4884,4890) = 3980460

LCM of 4884 and 4890

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

LCM of:
and

Least Common Multiple of 4884 and 4890

LCM of 4884 and 4890 is 3980460

Least common multiple can be found by multiplying the highest exponent prime factors of 4884 and 4890. First we will calculate the prime factors of 4884 and 4890.

Prime Factorization of 4884


2 4884
2 2442
3 1221
11 407
37 37
1

Prime factors of 4884 are 2, 3, 11,37. Prime factorization of 4884 in exponential form is:

4884 = 22×31×111×371

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 4884 and 4890.

LCM(4884,4890) = 22×31×51×111×371×1631
LCM(4884,4890) = 3980460

Factors of 4884

List of positive integer factors of 4884 that divides 4884 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442, 4884

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 4884 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 4884 and 4890, than apply into the LCM equation.

GCF(4884,4890) = 6
LCM(4884,4890) = ( 4884 × 4890) / 6
LCM(4884,4890) = 23882760 / 6
LCM(4884,4890) = 3980460

Properties of LCM 4884 and 4890

(i) The LCM of 4890 and 4884 is associative

LCM of 4884 and 4890 = LCM of 4890 and 4884

Related Least Common Multiples of 4884

Related Least Common Multiples of 4890

Frequently Asked Questions on LCM of 4884 and 4890

1. What is the LCM of 4884 and 4890?

Answer: LCM of 4884 and 4890 is 3980460.

2. What are the Factors of 4884?

Answer: Factors of 4884 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442, 4884. There are 24 integers that are factors of 4884. The greatest factor of 4884 is 4884.

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 4884 and 4890?

Answer:

Least Common Multiple of 4884 and 4890 = 3980460

Step 1: Find the prime factorization of 4884

4884 = 2 x 2 x 3 x 11 x 37

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 = 3980460 = 2 x 2 x 3 x 5 x 11 x 37 x 163

Step 4: Therefore, the least common multiple of 4884 and 4890 is 3980460.