Least Common Multiple of 442 and 444

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 444 the smallest integer that is 98124 that is divisible by both numbers.

Least Common Multiple (LCM) of 442 and 444 is 98124.

LCM(442,444) = 98124

LCM of 442 and 444

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

LCM of:
and

Least Common Multiple of 442 and 444

LCM of 442 and 444 is 98124

Least common multiple can be found by multiplying the highest exponent prime factors of 442 and 444. First we will calculate the prime factors of 442 and 444.

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 444


2 444
2 222
3 111
37 37
1

Prime factors of 444 are 2, 3,37. Prime factorization of 444 in exponential form is:

444 = 22×31×371

Now multiplying the highest exponent prime factors to calculate the LCM of 442 and 444.

LCM(442,444) = 22×31×131×171×371
LCM(442,444) = 98124

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 444

List of positive integer factors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Least Common Multiple of 442 and 444 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 444, than apply into the LCM equation.

GCF(442,444) = 2
LCM(442,444) = ( 442 × 444) / 2
LCM(442,444) = 196248 / 2
LCM(442,444) = 98124

Properties of LCM 442 and 444

(i) The LCM of 444 and 442 is associative

LCM of 442 and 444 = LCM of 444 and 442

Related Least Common Multiples of 442

Related Least Common Multiples of 444

Frequently Asked Questions on LCM of 442 and 444

1. What is the LCM of 442 and 444?

Answer: LCM of 442 and 444 is 98124.

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 444?

Answer: Factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444. There are 12 integers that are factors of 444. The greatest factor of 444 is 444.

4. How to Find the LCM of 442 and 444?

Answer:

Least Common Multiple of 442 and 444 = 98124

Step 1: Find the prime factorization of 442

442 = 2 x 13 x 17

Step 2: Find the prime factorization of 444

444 = 2 x 2 x 3 x 37

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

LCM = 98124 = 2 x 2 x 3 x 13 x 17 x 37

Step 4: Therefore, the least common multiple of 442 and 444 is 98124.