Least Common Multiple of 3470 and 3474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3470 and 3474 the smallest integer that is 6027390 that is divisible by both numbers.

Least Common Multiple (LCM) of 3470 and 3474 is 6027390.

LCM(3470,3474) = 6027390

LCM of 3470 and 3474

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

LCM of:
and

Least Common Multiple of 3470 and 3474

LCM of 3470 and 3474 is 6027390

Least common multiple can be found by multiplying the highest exponent prime factors of 3470 and 3474. First we will calculate the prime factors of 3470 and 3474.

Prime Factorization of 3470


2 3470
5 1735
347 347
1

Prime factors of 3470 are 2, 5,347. Prime factorization of 3470 in exponential form is:

3470 = 21×51×3471

Prime Factorization of 3474


2 3474
3 1737
3 579
193 193
1

Prime factors of 3474 are 2, 3,193. Prime factorization of 3474 in exponential form is:

3474 = 21×32×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 3470 and 3474.

LCM(3470,3474) = 21×32×51×1931×3471
LCM(3470,3474) = 6027390

Factors of 3470

List of positive integer factors of 3470 that divides 3470 without a remainder.

1, 2, 5, 10, 347, 694, 1735, 3470

Factors of 3474

List of positive integer factors of 3474 that divides 3474 without a remainder.

1, 2, 3, 6, 9, 18, 193, 386, 579, 1158, 1737, 3474

Least Common Multiple of 3470 and 3474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3470 and 3474, than apply into the LCM equation.

GCF(3470,3474) = 2
LCM(3470,3474) = ( 3470 × 3474) / 2
LCM(3470,3474) = 12054780 / 2
LCM(3470,3474) = 6027390

Properties of LCM 3470 and 3474

(i) The LCM of 3474 and 3470 is associative

LCM of 3470 and 3474 = LCM of 3474 and 3470

Related Least Common Multiples of 3470

Related Least Common Multiples of 3474

Frequently Asked Questions on LCM of 3470 and 3474

1. What is the LCM of 3470 and 3474?

Answer: LCM of 3470 and 3474 is 6027390.

2. What are the Factors of 3470?

Answer: Factors of 3470 are 1, 2, 5, 10, 347, 694, 1735, 3470. There are 8 integers that are factors of 3470. The greatest factor of 3470 is 3470.

3. What are the Factors of 3474?

Answer: Factors of 3474 are 1, 2, 3, 6, 9, 18, 193, 386, 579, 1158, 1737, 3474. There are 12 integers that are factors of 3474. The greatest factor of 3474 is 3474.

4. How to Find the LCM of 3470 and 3474?

Answer:

Least Common Multiple of 3470 and 3474 = 6027390

Step 1: Find the prime factorization of 3470

3470 = 2 x 5 x 347

Step 2: Find the prime factorization of 3474

3474 = 2 x 3 x 3 x 193

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

LCM = 6027390 = 2 x 3 x 3 x 5 x 193 x 347

Step 4: Therefore, the least common multiple of 3470 and 3474 is 6027390.