Least Common Multiple of 440 and 442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 440 and 442 the smallest integer that is 97240 that is divisible by both numbers.

Least Common Multiple (LCM) of 440 and 442 is 97240.

LCM(440,442) = 97240

LCM of 440 and 442

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

LCM of:
and

Least Common Multiple of 440 and 442

LCM of 440 and 442 is 97240

Least common multiple can be found by multiplying the highest exponent prime factors of 440 and 442. First we will calculate the prime factors of 440 and 442.

Prime Factorization of 440


2 440
2 220
2 110
5 55
11 11
1

Prime factors of 440 are 2, 5,11. Prime factorization of 440 in exponential form is:

440 = 23×51×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 440 and 442.

LCM(440,442) = 23×51×111×131×171
LCM(440,442) = 97240

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Factors of 442

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

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

Least Common Multiple of 440 and 442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 440 and 442, than apply into the LCM equation.

GCF(440,442) = 2
LCM(440,442) = ( 440 × 442) / 2
LCM(440,442) = 194480 / 2
LCM(440,442) = 97240

Properties of LCM 440 and 442

(i) The LCM of 442 and 440 is associative

LCM of 440 and 442 = LCM of 442 and 440

Related Least Common Multiples of 440

Related Least Common Multiples of 442

Frequently Asked Questions on LCM of 440 and 442

1. What is the LCM of 440 and 442?

Answer: LCM of 440 and 442 is 97240.

2. What are the Factors of 440?

Answer: Factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440. There are 16 integers that are factors of 440. The greatest factor of 440 is 440.

3. 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.

4. How to Find the LCM of 440 and 442?

Answer:

Least Common Multiple of 440 and 442 = 97240

Step 1: Find the prime factorization of 440

440 = 2 x 2 x 2 x 5 x 11

Step 2: Find the prime factorization of 442

442 = 2 x 13 x 17

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

LCM = 97240 = 2 x 2 x 2 x 5 x 11 x 13 x 17

Step 4: Therefore, the least common multiple of 440 and 442 is 97240.