Least Common Multiple of 442 and 450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 442 and 450 the smallest integer that is 99450 that is divisible by both numbers.

Least Common Multiple (LCM) of 442 and 450 is 99450.

LCM(442,450) = 99450

LCM of 442 and 450

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

LCM of:
and

Least Common Multiple of 442 and 450

LCM of 442 and 450 is 99450

Least common multiple can be found by multiplying the highest exponent prime factors of 442 and 450. First we will calculate the prime factors of 442 and 450.

Prime Factorization of 442


2 442
13 221
17 17
1

Prime factors of 442 are 2, 13,17. Prime factorization of 442 in exponential form is:

442 = 21×131×171

Prime Factorization of 450


2 450
3 225
3 75
5 25
5 5
1

Prime factors of 450 are 2, 3,5. Prime factorization of 450 in exponential form is:

450 = 21×32×52

Now multiplying the highest exponent prime factors to calculate the LCM of 442 and 450.

LCM(442,450) = 21×32×52×131×171
LCM(442,450) = 99450

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Least Common Multiple of 442 and 450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 442 and 450, than apply into the LCM equation.

GCF(442,450) = 2
LCM(442,450) = ( 442 × 450) / 2
LCM(442,450) = 198900 / 2
LCM(442,450) = 99450

Properties of LCM 442 and 450

(i) The LCM of 450 and 442 is associative

LCM of 442 and 450 = LCM of 450 and 442

Related Least Common Multiples of 442

Related Least Common Multiples of 450

Frequently Asked Questions on LCM of 442 and 450

1. What is the LCM of 442 and 450?

Answer: LCM of 442 and 450 is 99450.

2. What are the Factors of 442?

Answer: Factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442. There are 8 integers that are factors of 442. The greatest factor of 442 is 442.

3. What are the Factors of 450?

Answer: Factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450. There are 18 integers that are factors of 450. The greatest factor of 450 is 450.

4. How to Find the LCM of 442 and 450?

Answer:

Least Common Multiple of 442 and 450 = 99450

Step 1: Find the prime factorization of 442

442 = 2 x 13 x 17

Step 2: Find the prime factorization of 450

450 = 2 x 3 x 3 x 5 x 5

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

LCM = 99450 = 2 x 3 x 3 x 5 x 5 x 13 x 17

Step 4: Therefore, the least common multiple of 442 and 450 is 99450.