Least Common Multiple of 3430 and 3436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3430 and 3436 the smallest integer that is 5892740 that is divisible by both numbers.

Least Common Multiple (LCM) of 3430 and 3436 is 5892740.

LCM(3430,3436) = 5892740

LCM of 3430 and 3436

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

LCM of:
and

Least Common Multiple of 3430 and 3436

LCM of 3430 and 3436 is 5892740

Least common multiple can be found by multiplying the highest exponent prime factors of 3430 and 3436. First we will calculate the prime factors of 3430 and 3436.

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

Prime Factorization of 3436


2 3436
2 1718
859 859
1

Prime factors of 3436 are 2,859. Prime factorization of 3436 in exponential form is:

3436 = 22×8591

Now multiplying the highest exponent prime factors to calculate the LCM of 3430 and 3436.

LCM(3430,3436) = 22×51×73×8591
LCM(3430,3436) = 5892740

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

Factors of 3436

List of positive integer factors of 3436 that divides 3436 without a remainder.

1, 2, 4, 859, 1718, 3436

Least Common Multiple of 3430 and 3436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3430 and 3436, than apply into the LCM equation.

GCF(3430,3436) = 2
LCM(3430,3436) = ( 3430 × 3436) / 2
LCM(3430,3436) = 11785480 / 2
LCM(3430,3436) = 5892740

Properties of LCM 3430 and 3436

(i) The LCM of 3436 and 3430 is associative

LCM of 3430 and 3436 = LCM of 3436 and 3430

Related Least Common Multiples of 3430

Related Least Common Multiples of 3436

Frequently Asked Questions on LCM of 3430 and 3436

1. What is the LCM of 3430 and 3436?

Answer: LCM of 3430 and 3436 is 5892740.

2. 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.

3. What are the Factors of 3436?

Answer: Factors of 3436 are 1, 2, 4, 859, 1718, 3436. There are 6 integers that are factors of 3436. The greatest factor of 3436 is 3436.

4. How to Find the LCM of 3430 and 3436?

Answer:

Least Common Multiple of 3430 and 3436 = 5892740

Step 1: Find the prime factorization of 3430

3430 = 2 x 5 x 7 x 7 x 7

Step 2: Find the prime factorization of 3436

3436 = 2 x 2 x 859

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

LCM = 5892740 = 2 x 2 x 5 x 7 x 7 x 7 x 859

Step 4: Therefore, the least common multiple of 3430 and 3436 is 5892740.