Least Common Multiple of 3408 and 3416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3408 and 3416 the smallest integer that is 1455216 that is divisible by both numbers.

Least Common Multiple (LCM) of 3408 and 3416 is 1455216.

LCM(3408,3416) = 1455216

LCM of 3408 and 3416

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

LCM of:
and

Least Common Multiple of 3408 and 3416

LCM of 3408 and 3416 is 1455216

Least common multiple can be found by multiplying the highest exponent prime factors of 3408 and 3416. First we will calculate the prime factors of 3408 and 3416.

Prime Factorization of 3408


2 3408
2 1704
2 852
2 426
3 213
71 71
1

Prime factors of 3408 are 2, 3,71. Prime factorization of 3408 in exponential form is:

3408 = 24×31×711

Prime Factorization of 3416


2 3416
2 1708
2 854
7 427
61 61
1

Prime factors of 3416 are 2, 7,61. Prime factorization of 3416 in exponential form is:

3416 = 23×71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 3408 and 3416.

LCM(3408,3416) = 24×31×71×611×711
LCM(3408,3416) = 1455216

Factors of 3408

List of positive integer factors of 3408 that divides 3408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 71, 142, 213, 284, 426, 568, 852, 1136, 1704, 3408

Factors of 3416

List of positive integer factors of 3416 that divides 3416 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 61, 122, 244, 427, 488, 854, 1708, 3416

Least Common Multiple of 3408 and 3416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3408 and 3416, than apply into the LCM equation.

GCF(3408,3416) = 8
LCM(3408,3416) = ( 3408 × 3416) / 8
LCM(3408,3416) = 11641728 / 8
LCM(3408,3416) = 1455216

Properties of LCM 3408 and 3416

(i) The LCM of 3416 and 3408 is associative

LCM of 3408 and 3416 = LCM of 3416 and 3408

Related Least Common Multiples of 3408

Related Least Common Multiples of 3416

Frequently Asked Questions on LCM of 3408 and 3416

1. What is the LCM of 3408 and 3416?

Answer: LCM of 3408 and 3416 is 1455216.

2. What are the Factors of 3408?

Answer: Factors of 3408 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 71, 142, 213, 284, 426, 568, 852, 1136, 1704, 3408. There are 20 integers that are factors of 3408. The greatest factor of 3408 is 3408.

3. What are the Factors of 3416?

Answer: Factors of 3416 are 1, 2, 4, 7, 8, 14, 28, 56, 61, 122, 244, 427, 488, 854, 1708, 3416. There are 16 integers that are factors of 3416. The greatest factor of 3416 is 3416.

4. How to Find the LCM of 3408 and 3416?

Answer:

Least Common Multiple of 3408 and 3416 = 1455216

Step 1: Find the prime factorization of 3408

3408 = 2 x 2 x 2 x 2 x 3 x 71

Step 2: Find the prime factorization of 3416

3416 = 2 x 2 x 2 x 7 x 61

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

LCM = 1455216 = 2 x 2 x 2 x 2 x 3 x 7 x 61 x 71

Step 4: Therefore, the least common multiple of 3408 and 3416 is 1455216.