Least Common Multiple of 436 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 436 and 442 the smallest integer that is 96356 that is divisible by both numbers.

Least Common Multiple (LCM) of 436 and 442 is 96356.

LCM(436,442) = 96356

LCM of 436 and 442

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

LCM of:
and

Least Common Multiple of 436 and 442

LCM of 436 and 442 is 96356

Least common multiple can be found by multiplying the highest exponent prime factors of 436 and 442. First we will calculate the prime factors of 436 and 442.

Prime Factorization of 436


2 436
2 218
109 109
1

Prime factors of 436 are 2,109. Prime factorization of 436 in exponential form is:

436 = 22×1091

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 436 and 442.

LCM(436,442) = 22×131×171×1091
LCM(436,442) = 96356

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

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 436 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 436 and 442, than apply into the LCM equation.

GCF(436,442) = 2
LCM(436,442) = ( 436 × 442) / 2
LCM(436,442) = 192712 / 2
LCM(436,442) = 96356

Properties of LCM 436 and 442

(i) The LCM of 442 and 436 is associative

LCM of 436 and 442 = LCM of 442 and 436

Related Least Common Multiples of 436

Related Least Common Multiples of 442

Frequently Asked Questions on LCM of 436 and 442

1. What is the LCM of 436 and 442?

Answer: LCM of 436 and 442 is 96356.

2. What are the Factors of 436?

Answer: Factors of 436 are 1, 2, 4, 109, 218, 436. There are 6 integers that are factors of 436. The greatest factor of 436 is 436.

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 436 and 442?

Answer:

Least Common Multiple of 436 and 442 = 96356

Step 1: Find the prime factorization of 436

436 = 2 x 2 x 109

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 = 96356 = 2 x 2 x 13 x 17 x 109

Step 4: Therefore, the least common multiple of 436 and 442 is 96356.