Least Common Multiple of 3428 and 3435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3428 and 3435 the smallest integer that is 11775180 that is divisible by both numbers.

Least Common Multiple (LCM) of 3428 and 3435 is 11775180.

LCM(3428,3435) = 11775180

LCM of 3428 and 3435

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

LCM of:
and

Least Common Multiple of 3428 and 3435

LCM of 3428 and 3435 is 11775180

Least common multiple can be found by multiplying the highest exponent prime factors of 3428 and 3435. First we will calculate the prime factors of 3428 and 3435.

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

Prime Factorization of 3435


3 3435
5 1145
229 229
1

Prime factors of 3435 are 3, 5,229. Prime factorization of 3435 in exponential form is:

3435 = 31×51×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 3428 and 3435.

LCM(3428,3435) = 22×31×51×2291×8571
LCM(3428,3435) = 11775180

Factors of 3428

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

1, 2, 4, 857, 1714, 3428

Factors of 3435

List of positive integer factors of 3435 that divides 3435 without a remainder.

1, 3, 5, 15, 229, 687, 1145, 3435

Least Common Multiple of 3428 and 3435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3428 and 3435, than apply into the LCM equation.

GCF(3428,3435) = 1
LCM(3428,3435) = ( 3428 × 3435) / 1
LCM(3428,3435) = 11775180 / 1
LCM(3428,3435) = 11775180

Properties of LCM 3428 and 3435

(i) The LCM of 3435 and 3428 is associative

LCM of 3428 and 3435 = LCM of 3435 and 3428

Related Least Common Multiples of 3428

Related Least Common Multiples of 3435

Frequently Asked Questions on LCM of 3428 and 3435

1. What is the LCM of 3428 and 3435?

Answer: LCM of 3428 and 3435 is 11775180.

2. 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.

3. What are the Factors of 3435?

Answer: Factors of 3435 are 1, 3, 5, 15, 229, 687, 1145, 3435. There are 8 integers that are factors of 3435. The greatest factor of 3435 is 3435.

4. How to Find the LCM of 3428 and 3435?

Answer:

Least Common Multiple of 3428 and 3435 = 11775180

Step 1: Find the prime factorization of 3428

3428 = 2 x 2 x 857

Step 2: Find the prime factorization of 3435

3435 = 3 x 5 x 229

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

LCM = 11775180 = 2 x 2 x 3 x 5 x 229 x 857

Step 4: Therefore, the least common multiple of 3428 and 3435 is 11775180.