Least Common Multiple of 3448 and 3455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3448 and 3455 the smallest integer that is 11912840 that is divisible by both numbers.

Least Common Multiple (LCM) of 3448 and 3455 is 11912840.

LCM(3448,3455) = 11912840

LCM of 3448 and 3455

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

LCM of:
and

Least Common Multiple of 3448 and 3455

LCM of 3448 and 3455 is 11912840

Least common multiple can be found by multiplying the highest exponent prime factors of 3448 and 3455. First we will calculate the prime factors of 3448 and 3455.

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

Prime Factorization of 3455


5 3455
691 691
1

Prime factors of 3455 are 5,691. Prime factorization of 3455 in exponential form is:

3455 = 51×6911

Now multiplying the highest exponent prime factors to calculate the LCM of 3448 and 3455.

LCM(3448,3455) = 23×51×4311×6911
LCM(3448,3455) = 11912840

Factors of 3448

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

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

Factors of 3455

List of positive integer factors of 3455 that divides 3455 without a remainder.

1, 5, 691, 3455

Least Common Multiple of 3448 and 3455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3448 and 3455, than apply into the LCM equation.

GCF(3448,3455) = 1
LCM(3448,3455) = ( 3448 × 3455) / 1
LCM(3448,3455) = 11912840 / 1
LCM(3448,3455) = 11912840

Properties of LCM 3448 and 3455

(i) The LCM of 3455 and 3448 is associative

LCM of 3448 and 3455 = LCM of 3455 and 3448

Related Least Common Multiples of 3448

Related Least Common Multiples of 3455

Frequently Asked Questions on LCM of 3448 and 3455

1. What is the LCM of 3448 and 3455?

Answer: LCM of 3448 and 3455 is 11912840.

2. 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.

3. What are the Factors of 3455?

Answer: Factors of 3455 are 1, 5, 691, 3455. There are 4 integers that are factors of 3455. The greatest factor of 3455 is 3455.

4. How to Find the LCM of 3448 and 3455?

Answer:

Least Common Multiple of 3448 and 3455 = 11912840

Step 1: Find the prime factorization of 3448

3448 = 2 x 2 x 2 x 431

Step 2: Find the prime factorization of 3455

3455 = 5 x 691

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

LCM = 11912840 = 2 x 2 x 2 x 5 x 431 x 691

Step 4: Therefore, the least common multiple of 3448 and 3455 is 11912840.