Least Common Multiple of 3477 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 3477 and 3484 the smallest integer that is 12113868 that is divisible by both numbers.

Least Common Multiple (LCM) of 3477 and 3484 is 12113868.

LCM(3477,3484) = 12113868

LCM of 3477 and 3484

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

LCM of:
and

Least Common Multiple of 3477 and 3484

LCM of 3477 and 3484 is 12113868

Least common multiple can be found by multiplying the highest exponent prime factors of 3477 and 3484. First we will calculate the prime factors of 3477 and 3484.

Prime Factorization of 3477


3 3477
19 1159
61 61
1

Prime factors of 3477 are 3, 19,61. Prime factorization of 3477 in exponential form is:

3477 = 31×191×611

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 3477 and 3484.

LCM(3477,3484) = 22×31×131×191×611×671
LCM(3477,3484) = 12113868

Factors of 3477

List of positive integer factors of 3477 that divides 3477 without a remainder.

1, 3, 19, 57, 61, 183, 1159, 3477

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 3477 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 3477 and 3484, than apply into the LCM equation.

GCF(3477,3484) = 1
LCM(3477,3484) = ( 3477 × 3484) / 1
LCM(3477,3484) = 12113868 / 1
LCM(3477,3484) = 12113868

Properties of LCM 3477 and 3484

(i) The LCM of 3484 and 3477 is associative

LCM of 3477 and 3484 = LCM of 3484 and 3477

Related Least Common Multiples of 3477

Related Least Common Multiples of 3484

Frequently Asked Questions on LCM of 3477 and 3484

1. What is the LCM of 3477 and 3484?

Answer: LCM of 3477 and 3484 is 12113868.

2. What are the Factors of 3477?

Answer: Factors of 3477 are 1, 3, 19, 57, 61, 183, 1159, 3477. There are 8 integers that are factors of 3477. The greatest factor of 3477 is 3477.

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 3477 and 3484?

Answer:

Least Common Multiple of 3477 and 3484 = 12113868

Step 1: Find the prime factorization of 3477

3477 = 3 x 19 x 61

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 = 12113868 = 2 x 2 x 3 x 13 x 19 x 61 x 67

Step 4: Therefore, the least common multiple of 3477 and 3484 is 12113868.