Least Common Multiple of 3416 and 3423

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 3423 the smallest integer that is 1670424 that is divisible by both numbers.

Least Common Multiple (LCM) of 3416 and 3423 is 1670424.

LCM(3416,3423) = 1670424

LCM of 3416 and 3423

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

LCM of:
and

Least Common Multiple of 3416 and 3423

LCM of 3416 and 3423 is 1670424

Least common multiple can be found by multiplying the highest exponent prime factors of 3416 and 3423. First we will calculate the prime factors of 3416 and 3423.

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 3423


3 3423
7 1141
163 163
1

Prime factors of 3423 are 3, 7,163. Prime factorization of 3423 in exponential form is:

3423 = 31×71×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 3416 and 3423.

LCM(3416,3423) = 23×31×71×611×1631
LCM(3416,3423) = 1670424

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 3423

List of positive integer factors of 3423 that divides 3423 without a remainder.

1, 3, 7, 21, 163, 489, 1141, 3423

Least Common Multiple of 3416 and 3423 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 3423, than apply into the LCM equation.

GCF(3416,3423) = 7
LCM(3416,3423) = ( 3416 × 3423) / 7
LCM(3416,3423) = 11692968 / 7
LCM(3416,3423) = 1670424

Properties of LCM 3416 and 3423

(i) The LCM of 3423 and 3416 is associative

LCM of 3416 and 3423 = LCM of 3423 and 3416

Related Least Common Multiples of 3416

Related Least Common Multiples of 3423

Frequently Asked Questions on LCM of 3416 and 3423

1. What is the LCM of 3416 and 3423?

Answer: LCM of 3416 and 3423 is 1670424.

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 3423?

Answer: Factors of 3423 are 1, 3, 7, 21, 163, 489, 1141, 3423. There are 8 integers that are factors of 3423. The greatest factor of 3423 is 3423.

4. How to Find the LCM of 3416 and 3423?

Answer:

Least Common Multiple of 3416 and 3423 = 1670424

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 3423

3423 = 3 x 7 x 163

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

LCM = 1670424 = 2 x 2 x 2 x 3 x 7 x 61 x 163

Step 4: Therefore, the least common multiple of 3416 and 3423 is 1670424.