Least Common Multiple of 3442 and 3448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3442 and 3448 the smallest integer that is 5934008 that is divisible by both numbers.

Least Common Multiple (LCM) of 3442 and 3448 is 5934008.

LCM(3442,3448) = 5934008

LCM of 3442 and 3448

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

LCM of:
and

Least Common Multiple of 3442 and 3448

LCM of 3442 and 3448 is 5934008

Least common multiple can be found by multiplying the highest exponent prime factors of 3442 and 3448. First we will calculate the prime factors of 3442 and 3448.

Prime Factorization of 3442


2 3442
1721 1721
1

Prime factors of 3442 are 2,1721. Prime factorization of 3442 in exponential form is:

3442 = 21×17211

Prime Factorization of 3448


2 3448
2 1724
2 862
431 431
1

Prime factors of 3448 are 2,431. Prime factorization of 3448 in exponential form is:

3448 = 23×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 3442 and 3448.

LCM(3442,3448) = 23×4311×17211
LCM(3442,3448) = 5934008

Factors of 3442

List of positive integer factors of 3442 that divides 3442 without a remainder.

1, 2, 1721, 3442

Factors of 3448

List of positive integer factors of 3448 that divides 3448 without a remainder.

1, 2, 4, 8, 431, 862, 1724, 3448

Least Common Multiple of 3442 and 3448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3442 and 3448, than apply into the LCM equation.

GCF(3442,3448) = 2
LCM(3442,3448) = ( 3442 × 3448) / 2
LCM(3442,3448) = 11868016 / 2
LCM(3442,3448) = 5934008

Properties of LCM 3442 and 3448

(i) The LCM of 3448 and 3442 is associative

LCM of 3442 and 3448 = LCM of 3448 and 3442

Related Least Common Multiples of 3442

Related Least Common Multiples of 3448

Frequently Asked Questions on LCM of 3442 and 3448

1. What is the LCM of 3442 and 3448?

Answer: LCM of 3442 and 3448 is 5934008.

2. What are the Factors of 3442?

Answer: Factors of 3442 are 1, 2, 1721, 3442. There are 4 integers that are factors of 3442. The greatest factor of 3442 is 3442.

3. What are the Factors of 3448?

Answer: Factors of 3448 are 1, 2, 4, 8, 431, 862, 1724, 3448. There are 8 integers that are factors of 3448. The greatest factor of 3448 is 3448.

4. How to Find the LCM of 3442 and 3448?

Answer:

Least Common Multiple of 3442 and 3448 = 5934008

Step 1: Find the prime factorization of 3442

3442 = 2 x 1721

Step 2: Find the prime factorization of 3448

3448 = 2 x 2 x 2 x 431

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

LCM = 5934008 = 2 x 2 x 2 x 431 x 1721

Step 4: Therefore, the least common multiple of 3442 and 3448 is 5934008.