Least Common Multiple of 3147 and 3149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3147 and 3149 the smallest integer that is 9909903 that is divisible by both numbers.

Least Common Multiple (LCM) of 3147 and 3149 is 9909903.

LCM(3147,3149) = 9909903

LCM of 3147 and 3149

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

LCM of:
and

Least Common Multiple of 3147 and 3149

LCM of 3147 and 3149 is 9909903

Least common multiple can be found by multiplying the highest exponent prime factors of 3147 and 3149. First we will calculate the prime factors of 3147 and 3149.

Prime Factorization of 3147


3 3147
1049 1049
1

Prime factors of 3147 are 3,1049. Prime factorization of 3147 in exponential form is:

3147 = 31×10491

Prime Factorization of 3149


47 3149
67 67
1

Prime factors of 3149 are 47,67. Prime factorization of 3149 in exponential form is:

3149 = 471×671

Now multiplying the highest exponent prime factors to calculate the LCM of 3147 and 3149.

LCM(3147,3149) = 31×471×671×10491
LCM(3147,3149) = 9909903

Factors of 3147

List of positive integer factors of 3147 that divides 3147 without a remainder.

1, 3, 1049, 3147

Factors of 3149

List of positive integer factors of 3149 that divides 3149 without a remainder.

1, 47, 67, 3149

Least Common Multiple of 3147 and 3149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3147 and 3149, than apply into the LCM equation.

GCF(3147,3149) = 1
LCM(3147,3149) = ( 3147 × 3149) / 1
LCM(3147,3149) = 9909903 / 1
LCM(3147,3149) = 9909903

Properties of LCM 3147 and 3149

(i) The LCM of 3149 and 3147 is associative

LCM of 3147 and 3149 = LCM of 3149 and 3147

Related Least Common Multiples of 3147

Related Least Common Multiples of 3149

Frequently Asked Questions on LCM of 3147 and 3149

1. What is the LCM of 3147 and 3149?

Answer: LCM of 3147 and 3149 is 9909903.

2. What are the Factors of 3147?

Answer: Factors of 3147 are 1, 3, 1049, 3147. There are 4 integers that are factors of 3147. The greatest factor of 3147 is 3147.

3. What are the Factors of 3149?

Answer: Factors of 3149 are 1, 47, 67, 3149. There are 4 integers that are factors of 3149. The greatest factor of 3149 is 3149.

4. How to Find the LCM of 3147 and 3149?

Answer:

Least Common Multiple of 3147 and 3149 = 9909903

Step 1: Find the prime factorization of 3147

3147 = 3 x 1049

Step 2: Find the prime factorization of 3149

3149 = 47 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 = 9909903 = 3 x 47 x 67 x 1049

Step 4: Therefore, the least common multiple of 3147 and 3149 is 9909903.