Least Common Multiple of 14450 and 14452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 14450 and 14452 the smallest integer that is 104415700 that is divisible by both numbers.

Least Common Multiple (LCM) of 14450 and 14452 is 104415700.

LCM(14450,14452) = 104415700

LCM of 14450 and 14452

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

LCM of:
and

Least Common Multiple of 14450 and 14452

LCM of 14450 and 14452 is 104415700

Least common multiple can be found by multiplying the highest exponent prime factors of 14450 and 14452. First we will calculate the prime factors of 14450 and 14452.

Prime Factorization of 14450


2 14450
5 7225
5 1445
17 289
17 17
1

Prime factors of 14450 are 2, 5,17. Prime factorization of 14450 in exponential form is:

14450 = 21×52×172

Prime Factorization of 14452


2 14452
2 7226
3613 3613
1

Prime factors of 14452 are 2,3613. Prime factorization of 14452 in exponential form is:

14452 = 22×36131

Now multiplying the highest exponent prime factors to calculate the LCM of 14450 and 14452.

LCM(14450,14452) = 22×52×172×36131
LCM(14450,14452) = 104415700

Factors of 14450

List of positive integer factors of 14450 that divides 14450 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 289, 425, 578, 850, 1445, 2890, 7225, 14450

Factors of 14452

List of positive integer factors of 14452 that divides 14452 without a remainder.

1, 2, 4, 3613, 7226, 14452

Least Common Multiple of 14450 and 14452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14450 and 14452, than apply into the LCM equation.

GCF(14450,14452) = 2
LCM(14450,14452) = ( 14450 × 14452) / 2
LCM(14450,14452) = 208831400 / 2
LCM(14450,14452) = 104415700

Properties of LCM 14450 and 14452

(i) The LCM of 14452 and 14450 is associative

LCM of 14450 and 14452 = LCM of 14452 and 14450

Related Least Common Multiples of 14450

Related Least Common Multiples of 14452

Frequently Asked Questions on LCM of 14450 and 14452

1. What is the LCM of 14450 and 14452?

Answer: LCM of 14450 and 14452 is 104415700.

2. What are the Factors of 14450?

Answer: Factors of 14450 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 289, 425, 578, 850, 1445, 2890, 7225, 14450. There are 18 integers that are factors of 14450. The greatest factor of 14450 is 14450.

3. What are the Factors of 14452?

Answer: Factors of 14452 are 1, 2, 4, 3613, 7226, 14452. There are 6 integers that are factors of 14452. The greatest factor of 14452 is 14452.

4. How to Find the LCM of 14450 and 14452?

Answer:

Least Common Multiple of 14450 and 14452 = 104415700

Step 1: Find the prime factorization of 14450

14450 = 2 x 5 x 5 x 17 x 17

Step 2: Find the prime factorization of 14452

14452 = 2 x 2 x 3613

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

LCM = 104415700 = 2 x 2 x 5 x 5 x 17 x 17 x 3613

Step 4: Therefore, the least common multiple of 14450 and 14452 is 104415700.