Least Common Multiple of 3425 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 3425 and 3430 the smallest integer that is 2349550 that is divisible by both numbers.

Least Common Multiple (LCM) of 3425 and 3430 is 2349550.

LCM(3425,3430) = 2349550

LCM of 3425 and 3430

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

LCM of:
and

Least Common Multiple of 3425 and 3430

LCM of 3425 and 3430 is 2349550

Least common multiple can be found by multiplying the highest exponent prime factors of 3425 and 3430. First we will calculate the prime factors of 3425 and 3430.

Prime Factorization of 3425


5 3425
5 685
137 137
1

Prime factors of 3425 are 5,137. Prime factorization of 3425 in exponential form is:

3425 = 52×1371

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 3425 and 3430.

LCM(3425,3430) = 21×52×73×1371
LCM(3425,3430) = 2349550

Factors of 3425

List of positive integer factors of 3425 that divides 3425 without a remainder.

1, 5, 25, 137, 685, 3425

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 3425 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 3425 and 3430, than apply into the LCM equation.

GCF(3425,3430) = 5
LCM(3425,3430) = ( 3425 × 3430) / 5
LCM(3425,3430) = 11747750 / 5
LCM(3425,3430) = 2349550

Properties of LCM 3425 and 3430

(i) The LCM of 3430 and 3425 is associative

LCM of 3425 and 3430 = LCM of 3430 and 3425

Related Least Common Multiples of 3425

Related Least Common Multiples of 3430

Frequently Asked Questions on LCM of 3425 and 3430

1. What is the LCM of 3425 and 3430?

Answer: LCM of 3425 and 3430 is 2349550.

2. What are the Factors of 3425?

Answer: Factors of 3425 are 1, 5, 25, 137, 685, 3425. There are 6 integers that are factors of 3425. The greatest factor of 3425 is 3425.

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 3425 and 3430?

Answer:

Least Common Multiple of 3425 and 3430 = 2349550

Step 1: Find the prime factorization of 3425

3425 = 5 x 5 x 137

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 = 2349550 = 2 x 5 x 5 x 7 x 7 x 7 x 137

Step 4: Therefore, the least common multiple of 3425 and 3430 is 2349550.