Least Common Multiple of 3420 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 3420 and 3428 the smallest integer that is 2930940 that is divisible by both numbers.

Least Common Multiple (LCM) of 3420 and 3428 is 2930940.

LCM(3420,3428) = 2930940

LCM of 3420 and 3428

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

LCM of:
and

Least Common Multiple of 3420 and 3428

LCM of 3420 and 3428 is 2930940

Least common multiple can be found by multiplying the highest exponent prime factors of 3420 and 3428. First we will calculate the prime factors of 3420 and 3428.

Prime Factorization of 3420


2 3420
2 1710
3 855
3 285
5 95
19 19
1

Prime factors of 3420 are 2, 3, 5,19. Prime factorization of 3420 in exponential form is:

3420 = 22×32×51×191

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 3420 and 3428.

LCM(3420,3428) = 22×32×51×191×8571
LCM(3420,3428) = 2930940

Factors of 3420

List of positive integer factors of 3420 that divides 3420 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 30, 36, 38, 45, 57, 60, 76, 90, 95, 114, 171, 180, 190, 228, 285, 342, 380, 570, 684, 855, 1140, 1710, 3420

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 3420 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 3420 and 3428, than apply into the LCM equation.

GCF(3420,3428) = 4
LCM(3420,3428) = ( 3420 × 3428) / 4
LCM(3420,3428) = 11723760 / 4
LCM(3420,3428) = 2930940

Properties of LCM 3420 and 3428

(i) The LCM of 3428 and 3420 is associative

LCM of 3420 and 3428 = LCM of 3428 and 3420

Related Least Common Multiples of 3420

Related Least Common Multiples of 3428

Frequently Asked Questions on LCM of 3420 and 3428

1. What is the LCM of 3420 and 3428?

Answer: LCM of 3420 and 3428 is 2930940.

2. What are the Factors of 3420?

Answer: Factors of 3420 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 30, 36, 38, 45, 57, 60, 76, 90, 95, 114, 171, 180, 190, 228, 285, 342, 380, 570, 684, 855, 1140, 1710, 3420. There are 36 integers that are factors of 3420. The greatest factor of 3420 is 3420.

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 3420 and 3428?

Answer:

Least Common Multiple of 3420 and 3428 = 2930940

Step 1: Find the prime factorization of 3420

3420 = 2 x 2 x 3 x 3 x 5 x 19

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 = 2930940 = 2 x 2 x 3 x 3 x 5 x 19 x 857

Step 4: Therefore, the least common multiple of 3420 and 3428 is 2930940.