Least Common Multiple of 3478 and 3484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3478 and 3484 the smallest integer that is 6058676 that is divisible by both numbers.

Least Common Multiple (LCM) of 3478 and 3484 is 6058676.

LCM(3478,3484) = 6058676

LCM of 3478 and 3484

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

LCM of:
and

Least Common Multiple of 3478 and 3484

LCM of 3478 and 3484 is 6058676

Least common multiple can be found by multiplying the highest exponent prime factors of 3478 and 3484. First we will calculate the prime factors of 3478 and 3484.

Prime Factorization of 3478


2 3478
37 1739
47 47
1

Prime factors of 3478 are 2, 37,47. Prime factorization of 3478 in exponential form is:

3478 = 21×371×471

Prime Factorization of 3484


2 3484
2 1742
13 871
67 67
1

Prime factors of 3484 are 2, 13,67. Prime factorization of 3484 in exponential form is:

3484 = 22×131×671

Now multiplying the highest exponent prime factors to calculate the LCM of 3478 and 3484.

LCM(3478,3484) = 22×131×371×471×671
LCM(3478,3484) = 6058676

Factors of 3478

List of positive integer factors of 3478 that divides 3478 without a remainder.

1, 2, 37, 47, 74, 94, 1739, 3478

Factors of 3484

List of positive integer factors of 3484 that divides 3484 without a remainder.

1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742, 3484

Least Common Multiple of 3478 and 3484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3478 and 3484, than apply into the LCM equation.

GCF(3478,3484) = 2
LCM(3478,3484) = ( 3478 × 3484) / 2
LCM(3478,3484) = 12117352 / 2
LCM(3478,3484) = 6058676

Properties of LCM 3478 and 3484

(i) The LCM of 3484 and 3478 is associative

LCM of 3478 and 3484 = LCM of 3484 and 3478

Related Least Common Multiples of 3478

Related Least Common Multiples of 3484

Frequently Asked Questions on LCM of 3478 and 3484

1. What is the LCM of 3478 and 3484?

Answer: LCM of 3478 and 3484 is 6058676.

2. What are the Factors of 3478?

Answer: Factors of 3478 are 1, 2, 37, 47, 74, 94, 1739, 3478. There are 8 integers that are factors of 3478. The greatest factor of 3478 is 3478.

3. What are the Factors of 3484?

Answer: Factors of 3484 are 1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742, 3484. There are 12 integers that are factors of 3484. The greatest factor of 3484 is 3484.

4. How to Find the LCM of 3478 and 3484?

Answer:

Least Common Multiple of 3478 and 3484 = 6058676

Step 1: Find the prime factorization of 3478

3478 = 2 x 37 x 47

Step 2: Find the prime factorization of 3484

3484 = 2 x 2 x 13 x 67

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

LCM = 6058676 = 2 x 2 x 13 x 37 x 47 x 67

Step 4: Therefore, the least common multiple of 3478 and 3484 is 6058676.