Least Common Multiple of 4460 and 4466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4460 and 4466 the smallest integer that is 9959180 that is divisible by both numbers.

Least Common Multiple (LCM) of 4460 and 4466 is 9959180.

LCM(4460,4466) = 9959180

LCM of 4460 and 4466

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

LCM of:
and

Least Common Multiple of 4460 and 4466

LCM of 4460 and 4466 is 9959180

Least common multiple can be found by multiplying the highest exponent prime factors of 4460 and 4466. First we will calculate the prime factors of 4460 and 4466.

Prime Factorization of 4460


2 4460
2 2230
5 1115
223 223
1

Prime factors of 4460 are 2, 5,223. Prime factorization of 4460 in exponential form is:

4460 = 22×51×2231

Prime Factorization of 4466


2 4466
7 2233
11 319
29 29
1

Prime factors of 4466 are 2, 7, 11,29. Prime factorization of 4466 in exponential form is:

4466 = 21×71×111×291

Now multiplying the highest exponent prime factors to calculate the LCM of 4460 and 4466.

LCM(4460,4466) = 22×51×71×111×291×2231
LCM(4460,4466) = 9959180

Factors of 4460

List of positive integer factors of 4460 that divides 4460 without a remainder.

1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230, 4460

Factors of 4466

List of positive integer factors of 4466 that divides 4466 without a remainder.

1, 2, 7, 11, 14, 22, 29, 58, 77, 154, 203, 319, 406, 638, 2233, 4466

Least Common Multiple of 4460 and 4466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4460 and 4466, than apply into the LCM equation.

GCF(4460,4466) = 2
LCM(4460,4466) = ( 4460 × 4466) / 2
LCM(4460,4466) = 19918360 / 2
LCM(4460,4466) = 9959180

Properties of LCM 4460 and 4466

(i) The LCM of 4466 and 4460 is associative

LCM of 4460 and 4466 = LCM of 4466 and 4460

Related Least Common Multiples of 4460

Related Least Common Multiples of 4466

Frequently Asked Questions on LCM of 4460 and 4466

1. What is the LCM of 4460 and 4466?

Answer: LCM of 4460 and 4466 is 9959180.

2. What are the Factors of 4460?

Answer: Factors of 4460 are 1, 2, 4, 5, 10, 20, 223, 446, 892, 1115, 2230, 4460. There are 12 integers that are factors of 4460. The greatest factor of 4460 is 4460.

3. What are the Factors of 4466?

Answer: Factors of 4466 are 1, 2, 7, 11, 14, 22, 29, 58, 77, 154, 203, 319, 406, 638, 2233, 4466. There are 16 integers that are factors of 4466. The greatest factor of 4466 is 4466.

4. How to Find the LCM of 4460 and 4466?

Answer:

Least Common Multiple of 4460 and 4466 = 9959180

Step 1: Find the prime factorization of 4460

4460 = 2 x 2 x 5 x 223

Step 2: Find the prime factorization of 4466

4466 = 2 x 7 x 11 x 29

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

LCM = 9959180 = 2 x 2 x 5 x 7 x 11 x 29 x 223

Step 4: Therefore, the least common multiple of 4460 and 4466 is 9959180.