Least Common Multiple of 3424 and 3430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3424 and 3430 the smallest integer that is 5872160 that is divisible by both numbers.

Least Common Multiple (LCM) of 3424 and 3430 is 5872160.

LCM(3424,3430) = 5872160

LCM of 3424 and 3430

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

LCM of:
and

Least Common Multiple of 3424 and 3430

LCM of 3424 and 3430 is 5872160

Least common multiple can be found by multiplying the highest exponent prime factors of 3424 and 3430. First we will calculate the prime factors of 3424 and 3430.

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

Prime Factorization of 3430


2 3430
5 1715
7 343
7 49
7 7
1

Prime factors of 3430 are 2, 5,7. Prime factorization of 3430 in exponential form is:

3430 = 21×51×73

Now multiplying the highest exponent prime factors to calculate the LCM of 3424 and 3430.

LCM(3424,3430) = 25×51×73×1071
LCM(3424,3430) = 5872160

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

Factors of 3430

List of positive integer factors of 3430 that divides 3430 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 343, 490, 686, 1715, 3430

Least Common Multiple of 3424 and 3430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3424 and 3430, than apply into the LCM equation.

GCF(3424,3430) = 2
LCM(3424,3430) = ( 3424 × 3430) / 2
LCM(3424,3430) = 11744320 / 2
LCM(3424,3430) = 5872160

Properties of LCM 3424 and 3430

(i) The LCM of 3430 and 3424 is associative

LCM of 3424 and 3430 = LCM of 3430 and 3424

Related Least Common Multiples of 3424

Related Least Common Multiples of 3430

Frequently Asked Questions on LCM of 3424 and 3430

1. What is the LCM of 3424 and 3430?

Answer: LCM of 3424 and 3430 is 5872160.

2. 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.

3. What are the Factors of 3430?

Answer: Factors of 3430 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 343, 490, 686, 1715, 3430. There are 16 integers that are factors of 3430. The greatest factor of 3430 is 3430.

4. How to Find the LCM of 3424 and 3430?

Answer:

Least Common Multiple of 3424 and 3430 = 5872160

Step 1: Find the prime factorization of 3424

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

Step 2: Find the prime factorization of 3430

3430 = 2 x 5 x 7 x 7 x 7

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

LCM = 5872160 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 7 x 7 x 107

Step 4: Therefore, the least common multiple of 3424 and 3430 is 5872160.