Least Common Multiple of 3418 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 3418 and 3423 the smallest integer that is 11699814 that is divisible by both numbers.

Least Common Multiple (LCM) of 3418 and 3423 is 11699814.

LCM(3418,3423) = 11699814

LCM of 3418 and 3423

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

LCM of:
and

Least Common Multiple of 3418 and 3423

LCM of 3418 and 3423 is 11699814

Least common multiple can be found by multiplying the highest exponent prime factors of 3418 and 3423. First we will calculate the prime factors of 3418 and 3423.

Prime Factorization of 3418


2 3418
1709 1709
1

Prime factors of 3418 are 2,1709. Prime factorization of 3418 in exponential form is:

3418 = 21×17091

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 3418 and 3423.

LCM(3418,3423) = 21×31×71×1631×17091
LCM(3418,3423) = 11699814

Factors of 3418

List of positive integer factors of 3418 that divides 3418 without a remainder.

1, 2, 1709, 3418

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 3418 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 3418 and 3423, than apply into the LCM equation.

GCF(3418,3423) = 1
LCM(3418,3423) = ( 3418 × 3423) / 1
LCM(3418,3423) = 11699814 / 1
LCM(3418,3423) = 11699814

Properties of LCM 3418 and 3423

(i) The LCM of 3423 and 3418 is associative

LCM of 3418 and 3423 = LCM of 3423 and 3418

Related Least Common Multiples of 3418

Related Least Common Multiples of 3423

Frequently Asked Questions on LCM of 3418 and 3423

1. What is the LCM of 3418 and 3423?

Answer: LCM of 3418 and 3423 is 11699814.

2. What are the Factors of 3418?

Answer: Factors of 3418 are 1, 2, 1709, 3418. There are 4 integers that are factors of 3418. The greatest factor of 3418 is 3418.

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 3418 and 3423?

Answer:

Least Common Multiple of 3418 and 3423 = 11699814

Step 1: Find the prime factorization of 3418

3418 = 2 x 1709

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 = 11699814 = 2 x 3 x 7 x 163 x 1709

Step 4: Therefore, the least common multiple of 3418 and 3423 is 11699814.