Least Common Multiple of 3422 and 3428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3422 and 3428 the smallest integer that is 5865308 that is divisible by both numbers.

Least Common Multiple (LCM) of 3422 and 3428 is 5865308.

LCM(3422,3428) = 5865308

LCM of 3422 and 3428

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

LCM of:
and

Least Common Multiple of 3422 and 3428

LCM of 3422 and 3428 is 5865308

Least common multiple can be found by multiplying the highest exponent prime factors of 3422 and 3428. First we will calculate the prime factors of 3422 and 3428.

Prime Factorization of 3422


2 3422
29 1711
59 59
1

Prime factors of 3422 are 2, 29,59. Prime factorization of 3422 in exponential form is:

3422 = 21×291×591

Prime Factorization of 3428


2 3428
2 1714
857 857
1

Prime factors of 3428 are 2,857. Prime factorization of 3428 in exponential form is:

3428 = 22×8571

Now multiplying the highest exponent prime factors to calculate the LCM of 3422 and 3428.

LCM(3422,3428) = 22×291×591×8571
LCM(3422,3428) = 5865308

Factors of 3422

List of positive integer factors of 3422 that divides 3422 without a remainder.

1, 2, 29, 58, 59, 118, 1711, 3422

Factors of 3428

List of positive integer factors of 3428 that divides 3428 without a remainder.

1, 2, 4, 857, 1714, 3428

Least Common Multiple of 3422 and 3428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3422 and 3428, than apply into the LCM equation.

GCF(3422,3428) = 2
LCM(3422,3428) = ( 3422 × 3428) / 2
LCM(3422,3428) = 11730616 / 2
LCM(3422,3428) = 5865308

Properties of LCM 3422 and 3428

(i) The LCM of 3428 and 3422 is associative

LCM of 3422 and 3428 = LCM of 3428 and 3422

Related Least Common Multiples of 3422

Related Least Common Multiples of 3428

Frequently Asked Questions on LCM of 3422 and 3428

1. What is the LCM of 3422 and 3428?

Answer: LCM of 3422 and 3428 is 5865308.

2. What are the Factors of 3422?

Answer: Factors of 3422 are 1, 2, 29, 58, 59, 118, 1711, 3422. There are 8 integers that are factors of 3422. The greatest factor of 3422 is 3422.

3. What are the Factors of 3428?

Answer: Factors of 3428 are 1, 2, 4, 857, 1714, 3428. There are 6 integers that are factors of 3428. The greatest factor of 3428 is 3428.

4. How to Find the LCM of 3422 and 3428?

Answer:

Least Common Multiple of 3422 and 3428 = 5865308

Step 1: Find the prime factorization of 3422

3422 = 2 x 29 x 59

Step 2: Find the prime factorization of 3428

3428 = 2 x 2 x 857

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

LCM = 5865308 = 2 x 2 x 29 x 59 x 857

Step 4: Therefore, the least common multiple of 3422 and 3428 is 5865308.