Least Common Multiple of 3392 and 3400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3392 and 3400 the smallest integer that is 1441600 that is divisible by both numbers.

Least Common Multiple (LCM) of 3392 and 3400 is 1441600.

LCM(3392,3400) = 1441600

LCM of 3392 and 3400

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

LCM of:
and

Least Common Multiple of 3392 and 3400

LCM of 3392 and 3400 is 1441600

Least common multiple can be found by multiplying the highest exponent prime factors of 3392 and 3400. First we will calculate the prime factors of 3392 and 3400.

Prime Factorization of 3392


2 3392
2 1696
2 848
2 424
2 212
2 106
53 53
1

Prime factors of 3392 are 2,53. Prime factorization of 3392 in exponential form is:

3392 = 26×531

Prime Factorization of 3400


2 3400
2 1700
2 850
5 425
5 85
17 17
1

Prime factors of 3400 are 2, 5,17. Prime factorization of 3400 in exponential form is:

3400 = 23×52×171

Now multiplying the highest exponent prime factors to calculate the LCM of 3392 and 3400.

LCM(3392,3400) = 26×52×171×531
LCM(3392,3400) = 1441600

Factors of 3392

List of positive integer factors of 3392 that divides 3392 without a remainder.

1, 2, 4, 8, 16, 32, 53, 64, 106, 212, 424, 848, 1696, 3392

Factors of 3400

List of positive integer factors of 3400 that divides 3400 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700, 3400

Least Common Multiple of 3392 and 3400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3392 and 3400, than apply into the LCM equation.

GCF(3392,3400) = 8
LCM(3392,3400) = ( 3392 × 3400) / 8
LCM(3392,3400) = 11532800 / 8
LCM(3392,3400) = 1441600

Properties of LCM 3392 and 3400

(i) The LCM of 3400 and 3392 is associative

LCM of 3392 and 3400 = LCM of 3400 and 3392

Related Least Common Multiples of 3392

Related Least Common Multiples of 3400

Frequently Asked Questions on LCM of 3392 and 3400

1. What is the LCM of 3392 and 3400?

Answer: LCM of 3392 and 3400 is 1441600.

2. What are the Factors of 3392?

Answer: Factors of 3392 are 1, 2, 4, 8, 16, 32, 53, 64, 106, 212, 424, 848, 1696, 3392. There are 14 integers that are factors of 3392. The greatest factor of 3392 is 3392.

3. What are the Factors of 3400?

Answer: Factors of 3400 are 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700, 3400. There are 24 integers that are factors of 3400. The greatest factor of 3400 is 3400.

4. How to Find the LCM of 3392 and 3400?

Answer:

Least Common Multiple of 3392 and 3400 = 1441600

Step 1: Find the prime factorization of 3392

3392 = 2 x 2 x 2 x 2 x 2 x 2 x 53

Step 2: Find the prime factorization of 3400

3400 = 2 x 2 x 2 x 5 x 5 x 17

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

LCM = 1441600 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 5 x 17 x 53

Step 4: Therefore, the least common multiple of 3392 and 3400 is 1441600.