Least Common Multiple of 3420 and 3426

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 3426 the smallest integer that is 1952820 that is divisible by both numbers.

Least Common Multiple (LCM) of 3420 and 3426 is 1952820.

LCM(3420,3426) = 1952820

LCM of 3420 and 3426

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

LCM of:
and

Least Common Multiple of 3420 and 3426

LCM of 3420 and 3426 is 1952820

Least common multiple can be found by multiplying the highest exponent prime factors of 3420 and 3426. First we will calculate the prime factors of 3420 and 3426.

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 3426


2 3426
3 1713
571 571
1

Prime factors of 3426 are 2, 3,571. Prime factorization of 3426 in exponential form is:

3426 = 21×31×5711

Now multiplying the highest exponent prime factors to calculate the LCM of 3420 and 3426.

LCM(3420,3426) = 22×32×51×191×5711
LCM(3420,3426) = 1952820

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 3426

List of positive integer factors of 3426 that divides 3426 without a remainder.

1, 2, 3, 6, 571, 1142, 1713, 3426

Least Common Multiple of 3420 and 3426 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 3426, than apply into the LCM equation.

GCF(3420,3426) = 6
LCM(3420,3426) = ( 3420 × 3426) / 6
LCM(3420,3426) = 11716920 / 6
LCM(3420,3426) = 1952820

Properties of LCM 3420 and 3426

(i) The LCM of 3426 and 3420 is associative

LCM of 3420 and 3426 = LCM of 3426 and 3420

Related Least Common Multiples of 3420

Related Least Common Multiples of 3426

Frequently Asked Questions on LCM of 3420 and 3426

1. What is the LCM of 3420 and 3426?

Answer: LCM of 3420 and 3426 is 1952820.

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 3426?

Answer: Factors of 3426 are 1, 2, 3, 6, 571, 1142, 1713, 3426. There are 8 integers that are factors of 3426. The greatest factor of 3426 is 3426.

4. How to Find the LCM of 3420 and 3426?

Answer:

Least Common Multiple of 3420 and 3426 = 1952820

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 3426

3426 = 2 x 3 x 571

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

LCM = 1952820 = 2 x 2 x 3 x 3 x 5 x 19 x 571

Step 4: Therefore, the least common multiple of 3420 and 3426 is 1952820.