Least Common Multiple of 437 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 437 and 442 the smallest integer that is 193154 that is divisible by both numbers.

Least Common Multiple (LCM) of 437 and 442 is 193154.

LCM(437,442) = 193154

LCM of 437 and 442

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

LCM of:
and

Least Common Multiple of 437 and 442

LCM of 437 and 442 is 193154

Least common multiple can be found by multiplying the highest exponent prime factors of 437 and 442. First we will calculate the prime factors of 437 and 442.

Prime Factorization of 437


19 437
23 23
1

Prime factors of 437 are 19,23. Prime factorization of 437 in exponential form is:

437 = 191×231

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 437 and 442.

LCM(437,442) = 21×131×171×191×231
LCM(437,442) = 193154

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1, 19, 23, 437

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 437 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 437 and 442, than apply into the LCM equation.

GCF(437,442) = 1
LCM(437,442) = ( 437 × 442) / 1
LCM(437,442) = 193154 / 1
LCM(437,442) = 193154

Properties of LCM 437 and 442

(i) The LCM of 442 and 437 is associative

LCM of 437 and 442 = LCM of 442 and 437

Related Least Common Multiples of 437

Related Least Common Multiples of 442

Frequently Asked Questions on LCM of 437 and 442

1. What is the LCM of 437 and 442?

Answer: LCM of 437 and 442 is 193154.

2. What are the Factors of 437?

Answer: Factors of 437 are 1, 19, 23, 437. There are 4 integers that are factors of 437. The greatest factor of 437 is 437.

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 437 and 442?

Answer:

Least Common Multiple of 437 and 442 = 193154

Step 1: Find the prime factorization of 437

437 = 19 x 23

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 = 193154 = 2 x 13 x 17 x 19 x 23

Step 4: Therefore, the least common multiple of 437 and 442 is 193154.