Least Common Multiple of 4466 and 4474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4466 and 4474 the smallest integer that is 9990442 that is divisible by both numbers.

Least Common Multiple (LCM) of 4466 and 4474 is 9990442.

LCM(4466,4474) = 9990442

LCM of 4466 and 4474

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

LCM of:
and

Least Common Multiple of 4466 and 4474

LCM of 4466 and 4474 is 9990442

Least common multiple can be found by multiplying the highest exponent prime factors of 4466 and 4474. First we will calculate the prime factors of 4466 and 4474.

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

Prime Factorization of 4474


2 4474
2237 2237
1

Prime factors of 4474 are 2,2237. Prime factorization of 4474 in exponential form is:

4474 = 21×22371

Now multiplying the highest exponent prime factors to calculate the LCM of 4466 and 4474.

LCM(4466,4474) = 21×71×111×291×22371
LCM(4466,4474) = 9990442

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

Factors of 4474

List of positive integer factors of 4474 that divides 4474 without a remainder.

1, 2, 2237, 4474

Least Common Multiple of 4466 and 4474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4466 and 4474, than apply into the LCM equation.

GCF(4466,4474) = 2
LCM(4466,4474) = ( 4466 × 4474) / 2
LCM(4466,4474) = 19980884 / 2
LCM(4466,4474) = 9990442

Properties of LCM 4466 and 4474

(i) The LCM of 4474 and 4466 is associative

LCM of 4466 and 4474 = LCM of 4474 and 4466

Related Least Common Multiples of 4466

Related Least Common Multiples of 4474

Frequently Asked Questions on LCM of 4466 and 4474

1. What is the LCM of 4466 and 4474?

Answer: LCM of 4466 and 4474 is 9990442.

2. 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.

3. What are the Factors of 4474?

Answer: Factors of 4474 are 1, 2, 2237, 4474. There are 4 integers that are factors of 4474. The greatest factor of 4474 is 4474.

4. How to Find the LCM of 4466 and 4474?

Answer:

Least Common Multiple of 4466 and 4474 = 9990442

Step 1: Find the prime factorization of 4466

4466 = 2 x 7 x 11 x 29

Step 2: Find the prime factorization of 4474

4474 = 2 x 2237

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

LCM = 9990442 = 2 x 7 x 11 x 29 x 2237

Step 4: Therefore, the least common multiple of 4466 and 4474 is 9990442.