Least Common Multiple of 4446 and 4450

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 4450 the smallest integer that is 9892350 that is divisible by both numbers.

Least Common Multiple (LCM) of 4446 and 4450 is 9892350.

LCM(4446,4450) = 9892350

LCM of 4446 and 4450

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

LCM of:
and

Least Common Multiple of 4446 and 4450

LCM of 4446 and 4450 is 9892350

Least common multiple can be found by multiplying the highest exponent prime factors of 4446 and 4450. First we will calculate the prime factors of 4446 and 4450.

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 4450


2 4450
5 2225
5 445
89 89
1

Prime factors of 4450 are 2, 5,89. Prime factorization of 4450 in exponential form is:

4450 = 21×52×891

Now multiplying the highest exponent prime factors to calculate the LCM of 4446 and 4450.

LCM(4446,4450) = 21×32×52×131×191×891
LCM(4446,4450) = 9892350

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 4450

List of positive integer factors of 4450 that divides 4450 without a remainder.

1, 2, 5, 10, 25, 50, 89, 178, 445, 890, 2225, 4450

Least Common Multiple of 4446 and 4450 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 4450, than apply into the LCM equation.

GCF(4446,4450) = 2
LCM(4446,4450) = ( 4446 × 4450) / 2
LCM(4446,4450) = 19784700 / 2
LCM(4446,4450) = 9892350

Properties of LCM 4446 and 4450

(i) The LCM of 4450 and 4446 is associative

LCM of 4446 and 4450 = LCM of 4450 and 4446

Related Least Common Multiples of 4446

Related Least Common Multiples of 4450

Frequently Asked Questions on LCM of 4446 and 4450

1. What is the LCM of 4446 and 4450?

Answer: LCM of 4446 and 4450 is 9892350.

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 4450?

Answer: Factors of 4450 are 1, 2, 5, 10, 25, 50, 89, 178, 445, 890, 2225, 4450. There are 12 integers that are factors of 4450. The greatest factor of 4450 is 4450.

4. How to Find the LCM of 4446 and 4450?

Answer:

Least Common Multiple of 4446 and 4450 = 9892350

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 4450

4450 = 2 x 5 x 5 x 89

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

LCM = 9892350 = 2 x 3 x 3 x 5 x 5 x 13 x 19 x 89

Step 4: Therefore, the least common multiple of 4446 and 4450 is 9892350.