Least Common Multiple of 3466 and 3472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3466 and 3472 the smallest integer that is 6016976 that is divisible by both numbers.

Least Common Multiple (LCM) of 3466 and 3472 is 6016976.

LCM(3466,3472) = 6016976

LCM of 3466 and 3472

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

LCM of:
and

Least Common Multiple of 3466 and 3472

LCM of 3466 and 3472 is 6016976

Least common multiple can be found by multiplying the highest exponent prime factors of 3466 and 3472. First we will calculate the prime factors of 3466 and 3472.

Prime Factorization of 3466


2 3466
1733 1733
1

Prime factors of 3466 are 2,1733. Prime factorization of 3466 in exponential form is:

3466 = 21×17331

Prime Factorization of 3472


2 3472
2 1736
2 868
2 434
7 217
31 31
1

Prime factors of 3472 are 2, 7,31. Prime factorization of 3472 in exponential form is:

3472 = 24×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 3466 and 3472.

LCM(3466,3472) = 24×71×311×17331
LCM(3466,3472) = 6016976

Factors of 3466

List of positive integer factors of 3466 that divides 3466 without a remainder.

1, 2, 1733, 3466

Factors of 3472

List of positive integer factors of 3472 that divides 3472 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 31, 56, 62, 112, 124, 217, 248, 434, 496, 868, 1736, 3472

Least Common Multiple of 3466 and 3472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3466 and 3472, than apply into the LCM equation.

GCF(3466,3472) = 2
LCM(3466,3472) = ( 3466 × 3472) / 2
LCM(3466,3472) = 12033952 / 2
LCM(3466,3472) = 6016976

Properties of LCM 3466 and 3472

(i) The LCM of 3472 and 3466 is associative

LCM of 3466 and 3472 = LCM of 3472 and 3466

Related Least Common Multiples of 3466

Related Least Common Multiples of 3472

Frequently Asked Questions on LCM of 3466 and 3472

1. What is the LCM of 3466 and 3472?

Answer: LCM of 3466 and 3472 is 6016976.

2. What are the Factors of 3466?

Answer: Factors of 3466 are 1, 2, 1733, 3466. There are 4 integers that are factors of 3466. The greatest factor of 3466 is 3466.

3. What are the Factors of 3472?

Answer: Factors of 3472 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 56, 62, 112, 124, 217, 248, 434, 496, 868, 1736, 3472. There are 20 integers that are factors of 3472. The greatest factor of 3472 is 3472.

4. How to Find the LCM of 3466 and 3472?

Answer:

Least Common Multiple of 3466 and 3472 = 6016976

Step 1: Find the prime factorization of 3466

3466 = 2 x 1733

Step 2: Find the prime factorization of 3472

3472 = 2 x 2 x 2 x 2 x 7 x 31

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

LCM = 6016976 = 2 x 2 x 2 x 2 x 7 x 31 x 1733

Step 4: Therefore, the least common multiple of 3466 and 3472 is 6016976.