Least Common Multiple of 4442 and 4446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4442 and 4446 the smallest integer that is 9874566 that is divisible by both numbers.

Least Common Multiple (LCM) of 4442 and 4446 is 9874566.

LCM(4442,4446) = 9874566

LCM of 4442 and 4446

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

LCM of:
and

Least Common Multiple of 4442 and 4446

LCM of 4442 and 4446 is 9874566

Least common multiple can be found by multiplying the highest exponent prime factors of 4442 and 4446. First we will calculate the prime factors of 4442 and 4446.

Prime Factorization of 4442


2 4442
2221 2221
1

Prime factors of 4442 are 2,2221. Prime factorization of 4442 in exponential form is:

4442 = 21×22211

Prime Factorization of 4446


2 4446
3 2223
3 741
13 247
19 19
1

Prime factors of 4446 are 2, 3, 13,19. Prime factorization of 4446 in exponential form is:

4446 = 21×32×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 4442 and 4446.

LCM(4442,4446) = 21×32×131×191×22211
LCM(4442,4446) = 9874566

Factors of 4442

List of positive integer factors of 4442 that divides 4442 without a remainder.

1, 2, 2221, 4442

Factors of 4446

List of positive integer factors of 4446 that divides 4446 without a remainder.

1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223, 4446

Least Common Multiple of 4442 and 4446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4442 and 4446, than apply into the LCM equation.

GCF(4442,4446) = 2
LCM(4442,4446) = ( 4442 × 4446) / 2
LCM(4442,4446) = 19749132 / 2
LCM(4442,4446) = 9874566

Properties of LCM 4442 and 4446

(i) The LCM of 4446 and 4442 is associative

LCM of 4442 and 4446 = LCM of 4446 and 4442

Related Least Common Multiples of 4442

Related Least Common Multiples of 4446

Frequently Asked Questions on LCM of 4442 and 4446

1. What is the LCM of 4442 and 4446?

Answer: LCM of 4442 and 4446 is 9874566.

2. What are the Factors of 4442?

Answer: Factors of 4442 are 1, 2, 2221, 4442. There are 4 integers that are factors of 4442. The greatest factor of 4442 is 4442.

3. What are the Factors of 4446?

Answer: Factors of 4446 are 1, 2, 3, 6, 9, 13, 18, 19, 26, 38, 39, 57, 78, 114, 117, 171, 234, 247, 342, 494, 741, 1482, 2223, 4446. There are 24 integers that are factors of 4446. The greatest factor of 4446 is 4446.

4. How to Find the LCM of 4442 and 4446?

Answer:

Least Common Multiple of 4442 and 4446 = 9874566

Step 1: Find the prime factorization of 4442

4442 = 2 x 2221

Step 2: Find the prime factorization of 4446

4446 = 2 x 3 x 3 x 13 x 19

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

LCM = 9874566 = 2 x 3 x 3 x 13 x 19 x 2221

Step 4: Therefore, the least common multiple of 4442 and 4446 is 9874566.