Least Common Multiple of 435 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 435 and 442 the smallest integer that is 192270 that is divisible by both numbers.

Least Common Multiple (LCM) of 435 and 442 is 192270.

LCM(435,442) = 192270

LCM of 435 and 442

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

LCM of:
and

Least Common Multiple of 435 and 442

LCM of 435 and 442 is 192270

Least common multiple can be found by multiplying the highest exponent prime factors of 435 and 442. First we will calculate the prime factors of 435 and 442.

Prime Factorization of 435


3 435
5 145
29 29
1

Prime factors of 435 are 3, 5,29. Prime factorization of 435 in exponential form is:

435 = 31×51×291

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 435 and 442.

LCM(435,442) = 21×31×51×131×171×291
LCM(435,442) = 192270

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

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 435 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 435 and 442, than apply into the LCM equation.

GCF(435,442) = 1
LCM(435,442) = ( 435 × 442) / 1
LCM(435,442) = 192270 / 1
LCM(435,442) = 192270

Properties of LCM 435 and 442

(i) The LCM of 442 and 435 is associative

LCM of 435 and 442 = LCM of 442 and 435

Related Least Common Multiples of 435

Related Least Common Multiples of 442

Frequently Asked Questions on LCM of 435 and 442

1. What is the LCM of 435 and 442?

Answer: LCM of 435 and 442 is 192270.

2. What are the Factors of 435?

Answer: Factors of 435 are 1, 3, 5, 15, 29, 87, 145, 435. There are 8 integers that are factors of 435. The greatest factor of 435 is 435.

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 435 and 442?

Answer:

Least Common Multiple of 435 and 442 = 192270

Step 1: Find the prime factorization of 435

435 = 3 x 5 x 29

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 = 192270 = 2 x 3 x 5 x 13 x 17 x 29

Step 4: Therefore, the least common multiple of 435 and 442 is 192270.