Least Common Multiple of 3416 and 3424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3416 and 3424 the smallest integer that is 1462048 that is divisible by both numbers.

Least Common Multiple (LCM) of 3416 and 3424 is 1462048.

LCM(3416,3424) = 1462048

LCM of 3416 and 3424

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

LCM of:
and

Least Common Multiple of 3416 and 3424

LCM of 3416 and 3424 is 1462048

Least common multiple can be found by multiplying the highest exponent prime factors of 3416 and 3424. First we will calculate the prime factors of 3416 and 3424.

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

Prime Factorization of 3424


2 3424
2 1712
2 856
2 428
2 214
107 107
1

Prime factors of 3424 are 2,107. Prime factorization of 3424 in exponential form is:

3424 = 25×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 3416 and 3424.

LCM(3416,3424) = 25×71×611×1071
LCM(3416,3424) = 1462048

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

Factors of 3424

List of positive integer factors of 3424 that divides 3424 without a remainder.

1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712, 3424

Least Common Multiple of 3416 and 3424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3416 and 3424, than apply into the LCM equation.

GCF(3416,3424) = 8
LCM(3416,3424) = ( 3416 × 3424) / 8
LCM(3416,3424) = 11696384 / 8
LCM(3416,3424) = 1462048

Properties of LCM 3416 and 3424

(i) The LCM of 3424 and 3416 is associative

LCM of 3416 and 3424 = LCM of 3424 and 3416

Related Least Common Multiples of 3416

Related Least Common Multiples of 3424

Frequently Asked Questions on LCM of 3416 and 3424

1. What is the LCM of 3416 and 3424?

Answer: LCM of 3416 and 3424 is 1462048.

2. 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.

3. What are the Factors of 3424?

Answer: Factors of 3424 are 1, 2, 4, 8, 16, 32, 107, 214, 428, 856, 1712, 3424. There are 12 integers that are factors of 3424. The greatest factor of 3424 is 3424.

4. How to Find the LCM of 3416 and 3424?

Answer:

Least Common Multiple of 3416 and 3424 = 1462048

Step 1: Find the prime factorization of 3416

3416 = 2 x 2 x 2 x 7 x 61

Step 2: Find the prime factorization of 3424

3424 = 2 x 2 x 2 x 2 x 2 x 107

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

LCM = 1462048 = 2 x 2 x 2 x 2 x 2 x 7 x 61 x 107

Step 4: Therefore, the least common multiple of 3416 and 3424 is 1462048.