Least Common Multiple of 442 and 447

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 447 the smallest integer that is 197574 that is divisible by both numbers.

Least Common Multiple (LCM) of 442 and 447 is 197574.

LCM(442,447) = 197574

LCM of 442 and 447

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

LCM of:
and

Least Common Multiple of 442 and 447

LCM of 442 and 447 is 197574

Least common multiple can be found by multiplying the highest exponent prime factors of 442 and 447. First we will calculate the prime factors of 442 and 447.

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 447


3 447
149 149
1

Prime factors of 447 are 3,149. Prime factorization of 447 in exponential form is:

447 = 31×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 442 and 447.

LCM(442,447) = 21×31×131×171×1491
LCM(442,447) = 197574

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 447

List of positive integer factors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Least Common Multiple of 442 and 447 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 447, than apply into the LCM equation.

GCF(442,447) = 1
LCM(442,447) = ( 442 × 447) / 1
LCM(442,447) = 197574 / 1
LCM(442,447) = 197574

Properties of LCM 442 and 447

(i) The LCM of 447 and 442 is associative

LCM of 442 and 447 = LCM of 447 and 442

Related Least Common Multiples of 442

Related Least Common Multiples of 447

Frequently Asked Questions on LCM of 442 and 447

1. What is the LCM of 442 and 447?

Answer: LCM of 442 and 447 is 197574.

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 447?

Answer: Factors of 447 are 1, 3, 149, 447. There are 4 integers that are factors of 447. The greatest factor of 447 is 447.

4. How to Find the LCM of 442 and 447?

Answer:

Least Common Multiple of 442 and 447 = 197574

Step 1: Find the prime factorization of 442

442 = 2 x 13 x 17

Step 2: Find the prime factorization of 447

447 = 3 x 149

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

LCM = 197574 = 2 x 3 x 13 x 17 x 149

Step 4: Therefore, the least common multiple of 442 and 447 is 197574.