Least Common Multiple of 14450 and 14454

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 14454 the smallest integer that is 104430150 that is divisible by both numbers.

Least Common Multiple (LCM) of 14450 and 14454 is 104430150.

LCM(14450,14454) = 104430150

LCM of 14450 and 14454

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

LCM of:
and

Least Common Multiple of 14450 and 14454

LCM of 14450 and 14454 is 104430150

Least common multiple can be found by multiplying the highest exponent prime factors of 14450 and 14454. First we will calculate the prime factors of 14450 and 14454.

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 14454


2 14454
3 7227
3 2409
11 803
73 73
1

Prime factors of 14454 are 2, 3, 11,73. Prime factorization of 14454 in exponential form is:

14454 = 21×32×111×731

Now multiplying the highest exponent prime factors to calculate the LCM of 14450 and 14454.

LCM(14450,14454) = 21×32×52×111×172×731
LCM(14450,14454) = 104430150

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 14454

List of positive integer factors of 14454 that divides 14454 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 73, 99, 146, 198, 219, 438, 657, 803, 1314, 1606, 2409, 4818, 7227, 14454

Least Common Multiple of 14450 and 14454 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 14454, than apply into the LCM equation.

GCF(14450,14454) = 2
LCM(14450,14454) = ( 14450 × 14454) / 2
LCM(14450,14454) = 208860300 / 2
LCM(14450,14454) = 104430150

Properties of LCM 14450 and 14454

(i) The LCM of 14454 and 14450 is associative

LCM of 14450 and 14454 = LCM of 14454 and 14450

Related Least Common Multiples of 14450

Related Least Common Multiples of 14454

Frequently Asked Questions on LCM of 14450 and 14454

1. What is the LCM of 14450 and 14454?

Answer: LCM of 14450 and 14454 is 104430150.

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 14454?

Answer: Factors of 14454 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 73, 99, 146, 198, 219, 438, 657, 803, 1314, 1606, 2409, 4818, 7227, 14454. There are 24 integers that are factors of 14454. The greatest factor of 14454 is 14454.

4. How to Find the LCM of 14450 and 14454?

Answer:

Least Common Multiple of 14450 and 14454 = 104430150

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 14454

14454 = 2 x 3 x 3 x 11 x 73

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

LCM = 104430150 = 2 x 3 x 3 x 5 x 5 x 11 x 17 x 17 x 73

Step 4: Therefore, the least common multiple of 14450 and 14454 is 104430150.