Least Common Multiple of 4446 and 4454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4446 and 4454 the smallest integer that is 9901242 that is divisible by both numbers.

Least Common Multiple (LCM) of 4446 and 4454 is 9901242.

LCM(4446,4454) = 9901242

LCM of 4446 and 4454

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

LCM of:
and

Least Common Multiple of 4446 and 4454

LCM of 4446 and 4454 is 9901242

Least common multiple can be found by multiplying the highest exponent prime factors of 4446 and 4454. First we will calculate the prime factors of 4446 and 4454.

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

Prime Factorization of 4454


2 4454
17 2227
131 131
1

Prime factors of 4454 are 2, 17,131. Prime factorization of 4454 in exponential form is:

4454 = 21×171×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 4446 and 4454.

LCM(4446,4454) = 21×32×131×171×191×1311
LCM(4446,4454) = 9901242

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

Factors of 4454

List of positive integer factors of 4454 that divides 4454 without a remainder.

1, 2, 17, 34, 131, 262, 2227, 4454

Least Common Multiple of 4446 and 4454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4446 and 4454, than apply into the LCM equation.

GCF(4446,4454) = 2
LCM(4446,4454) = ( 4446 × 4454) / 2
LCM(4446,4454) = 19802484 / 2
LCM(4446,4454) = 9901242

Properties of LCM 4446 and 4454

(i) The LCM of 4454 and 4446 is associative

LCM of 4446 and 4454 = LCM of 4454 and 4446

Related Least Common Multiples of 4446

Related Least Common Multiples of 4454

Frequently Asked Questions on LCM of 4446 and 4454

1. What is the LCM of 4446 and 4454?

Answer: LCM of 4446 and 4454 is 9901242.

2. 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.

3. What are the Factors of 4454?

Answer: Factors of 4454 are 1, 2, 17, 34, 131, 262, 2227, 4454. There are 8 integers that are factors of 4454. The greatest factor of 4454 is 4454.

4. How to Find the LCM of 4446 and 4454?

Answer:

Least Common Multiple of 4446 and 4454 = 9901242

Step 1: Find the prime factorization of 4446

4446 = 2 x 3 x 3 x 13 x 19

Step 2: Find the prime factorization of 4454

4454 = 2 x 17 x 131

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

LCM = 9901242 = 2 x 3 x 3 x 13 x 17 x 19 x 131

Step 4: Therefore, the least common multiple of 4446 and 4454 is 9901242.