Least Common Multiple of 3419 and 3420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3419 and 3420 the smallest integer that is 11692980 that is divisible by both numbers.

Least Common Multiple (LCM) of 3419 and 3420 is 11692980.

LCM(3419,3420) = 11692980

LCM of 3419 and 3420

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

LCM of:
and

Least Common Multiple of 3419 and 3420

LCM of 3419 and 3420 is 11692980

Least common multiple can be found by multiplying the highest exponent prime factors of 3419 and 3420. First we will calculate the prime factors of 3419 and 3420.

Prime Factorization of 3419


13 3419
263 263
1

Prime factors of 3419 are 13,263. Prime factorization of 3419 in exponential form is:

3419 = 131×2631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3419 and 3420.

LCM(3419,3420) = 22×32×51×131×191×2631
LCM(3419,3420) = 11692980

Factors of 3419

List of positive integer factors of 3419 that divides 3419 without a remainder.

1, 13, 263, 3419

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

Least Common Multiple of 3419 and 3420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3419 and 3420, than apply into the LCM equation.

GCF(3419,3420) = 1
LCM(3419,3420) = ( 3419 × 3420) / 1
LCM(3419,3420) = 11692980 / 1
LCM(3419,3420) = 11692980

Properties of LCM 3419 and 3420

(i) The LCM of 3420 and 3419 is associative

LCM of 3419 and 3420 = LCM of 3420 and 3419

Related Least Common Multiples of 3419

Related Least Common Multiples of 3420

Frequently Asked Questions on LCM of 3419 and 3420

1. What is the LCM of 3419 and 3420?

Answer: LCM of 3419 and 3420 is 11692980.

2. What are the Factors of 3419?

Answer: Factors of 3419 are 1, 13, 263, 3419. There are 4 integers that are factors of 3419. The greatest factor of 3419 is 3419.

3. 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.

4. How to Find the LCM of 3419 and 3420?

Answer:

Least Common Multiple of 3419 and 3420 = 11692980

Step 1: Find the prime factorization of 3419

3419 = 13 x 263

Step 2: Find the prime factorization of 3420

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

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

LCM = 11692980 = 2 x 2 x 3 x 3 x 5 x 13 x 19 x 263

Step 4: Therefore, the least common multiple of 3419 and 3420 is 11692980.