Least Common Multiple of 3419 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 3419 and 3424 the smallest integer that is 11706656 that is divisible by both numbers.

Least Common Multiple (LCM) of 3419 and 3424 is 11706656.

LCM(3419,3424) = 11706656

LCM of 3419 and 3424

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

LCM of:
and

Least Common Multiple of 3419 and 3424

LCM of 3419 and 3424 is 11706656

Least common multiple can be found by multiplying the highest exponent prime factors of 3419 and 3424. First we will calculate the prime factors of 3419 and 3424.

Prime Factorization of 3419


13 3419
263 263
1

Prime factors of 3419 are 13,263. Prime factorization of 3419 in exponential form is:

3419 = 131×2631

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 3419 and 3424.

LCM(3419,3424) = 25×131×1071×2631
LCM(3419,3424) = 11706656

Factors of 3419

List of positive integer factors of 3419 that divides 3419 without a remainder.

1, 13, 263, 3419

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 3419 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 3419 and 3424, than apply into the LCM equation.

GCF(3419,3424) = 1
LCM(3419,3424) = ( 3419 × 3424) / 1
LCM(3419,3424) = 11706656 / 1
LCM(3419,3424) = 11706656

Properties of LCM 3419 and 3424

(i) The LCM of 3424 and 3419 is associative

LCM of 3419 and 3424 = LCM of 3424 and 3419

Related Least Common Multiples of 3419

Related Least Common Multiples of 3424

Frequently Asked Questions on LCM of 3419 and 3424

1. What is the LCM of 3419 and 3424?

Answer: LCM of 3419 and 3424 is 11706656.

2. What are the Factors of 3419?

Answer: Factors of 3419 are 1, 13, 263, 3419. There are 4 integers that are factors of 3419. The greatest factor of 3419 is 3419.

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 3419 and 3424?

Answer:

Least Common Multiple of 3419 and 3424 = 11706656

Step 1: Find the prime factorization of 3419

3419 = 13 x 263

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 = 11706656 = 2 x 2 x 2 x 2 x 2 x 13 x 107 x 263

Step 4: Therefore, the least common multiple of 3419 and 3424 is 11706656.