Least Common Multiple of 3420 and 3425

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 3425 the smallest integer that is 2342700 that is divisible by both numbers.

Least Common Multiple (LCM) of 3420 and 3425 is 2342700.

LCM(3420,3425) = 2342700

LCM of 3420 and 3425

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

LCM of:
and

Least Common Multiple of 3420 and 3425

LCM of 3420 and 3425 is 2342700

Least common multiple can be found by multiplying the highest exponent prime factors of 3420 and 3425. First we will calculate the prime factors of 3420 and 3425.

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 3425


5 3425
5 685
137 137
1

Prime factors of 3425 are 5,137. Prime factorization of 3425 in exponential form is:

3425 = 52×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 3420 and 3425.

LCM(3420,3425) = 22×32×52×191×1371
LCM(3420,3425) = 2342700

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 3425

List of positive integer factors of 3425 that divides 3425 without a remainder.

1, 5, 25, 137, 685, 3425

Least Common Multiple of 3420 and 3425 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 3425, than apply into the LCM equation.

GCF(3420,3425) = 5
LCM(3420,3425) = ( 3420 × 3425) / 5
LCM(3420,3425) = 11713500 / 5
LCM(3420,3425) = 2342700

Properties of LCM 3420 and 3425

(i) The LCM of 3425 and 3420 is associative

LCM of 3420 and 3425 = LCM of 3425 and 3420

Related Least Common Multiples of 3420

Related Least Common Multiples of 3425

Frequently Asked Questions on LCM of 3420 and 3425

1. What is the LCM of 3420 and 3425?

Answer: LCM of 3420 and 3425 is 2342700.

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 3425?

Answer: Factors of 3425 are 1, 5, 25, 137, 685, 3425. There are 6 integers that are factors of 3425. The greatest factor of 3425 is 3425.

4. How to Find the LCM of 3420 and 3425?

Answer:

Least Common Multiple of 3420 and 3425 = 2342700

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 3425

3425 = 5 x 5 x 137

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

LCM = 2342700 = 2 x 2 x 3 x 3 x 5 x 5 x 19 x 137

Step 4: Therefore, the least common multiple of 3420 and 3425 is 2342700.