Least Common Multiple of 3417 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 3417 and 3424 the smallest integer that is 11699808 that is divisible by both numbers.

Least Common Multiple (LCM) of 3417 and 3424 is 11699808.

LCM(3417,3424) = 11699808

LCM of 3417 and 3424

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

LCM of:
and

Least Common Multiple of 3417 and 3424

LCM of 3417 and 3424 is 11699808

Least common multiple can be found by multiplying the highest exponent prime factors of 3417 and 3424. First we will calculate the prime factors of 3417 and 3424.

Prime Factorization of 3417


3 3417
17 1139
67 67
1

Prime factors of 3417 are 3, 17,67. Prime factorization of 3417 in exponential form is:

3417 = 31×171×671

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 3417 and 3424.

LCM(3417,3424) = 25×31×171×671×1071
LCM(3417,3424) = 11699808

Factors of 3417

List of positive integer factors of 3417 that divides 3417 without a remainder.

1, 3, 17, 51, 67, 201, 1139, 3417

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 3417 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 3417 and 3424, than apply into the LCM equation.

GCF(3417,3424) = 1
LCM(3417,3424) = ( 3417 × 3424) / 1
LCM(3417,3424) = 11699808 / 1
LCM(3417,3424) = 11699808

Properties of LCM 3417 and 3424

(i) The LCM of 3424 and 3417 is associative

LCM of 3417 and 3424 = LCM of 3424 and 3417

Related Least Common Multiples of 3417

Related Least Common Multiples of 3424

Frequently Asked Questions on LCM of 3417 and 3424

1. What is the LCM of 3417 and 3424?

Answer: LCM of 3417 and 3424 is 11699808.

2. What are the Factors of 3417?

Answer: Factors of 3417 are 1, 3, 17, 51, 67, 201, 1139, 3417. There are 8 integers that are factors of 3417. The greatest factor of 3417 is 3417.

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 3417 and 3424?

Answer:

Least Common Multiple of 3417 and 3424 = 11699808

Step 1: Find the prime factorization of 3417

3417 = 3 x 17 x 67

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 = 11699808 = 2 x 2 x 2 x 2 x 2 x 3 x 17 x 67 x 107

Step 4: Therefore, the least common multiple of 3417 and 3424 is 11699808.