Least Common Multiple of 3140 and 3147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3140 and 3147 the smallest integer that is 9881580 that is divisible by both numbers.

Least Common Multiple (LCM) of 3140 and 3147 is 9881580.

LCM(3140,3147) = 9881580

LCM of 3140 and 3147

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

LCM of:
and

Least Common Multiple of 3140 and 3147

LCM of 3140 and 3147 is 9881580

Least common multiple can be found by multiplying the highest exponent prime factors of 3140 and 3147. First we will calculate the prime factors of 3140 and 3147.

Prime Factorization of 3140


2 3140
2 1570
5 785
157 157
1

Prime factors of 3140 are 2, 5,157. Prime factorization of 3140 in exponential form is:

3140 = 22×51×1571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3140 and 3147.

LCM(3140,3147) = 22×31×51×1571×10491
LCM(3140,3147) = 9881580

Factors of 3140

List of positive integer factors of 3140 that divides 3140 without a remainder.

1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140

Factors of 3147

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

1, 3, 1049, 3147

Least Common Multiple of 3140 and 3147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3140 and 3147, than apply into the LCM equation.

GCF(3140,3147) = 1
LCM(3140,3147) = ( 3140 × 3147) / 1
LCM(3140,3147) = 9881580 / 1
LCM(3140,3147) = 9881580

Properties of LCM 3140 and 3147

(i) The LCM of 3147 and 3140 is associative

LCM of 3140 and 3147 = LCM of 3147 and 3140

Related Least Common Multiples of 3140

Related Least Common Multiples of 3147

Frequently Asked Questions on LCM of 3140 and 3147

1. What is the LCM of 3140 and 3147?

Answer: LCM of 3140 and 3147 is 9881580.

2. What are the Factors of 3140?

Answer: Factors of 3140 are 1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140. There are 12 integers that are factors of 3140. The greatest factor of 3140 is 3140.

3. 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.

4. How to Find the LCM of 3140 and 3147?

Answer:

Least Common Multiple of 3140 and 3147 = 9881580

Step 1: Find the prime factorization of 3140

3140 = 2 x 2 x 5 x 157

Step 2: Find the prime factorization of 3147

3147 = 3 x 1049

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

LCM = 9881580 = 2 x 2 x 3 x 5 x 157 x 1049

Step 4: Therefore, the least common multiple of 3140 and 3147 is 9881580.