Least Common Multiple of 3140 and 3144

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 3144 the smallest integer that is 2468040 that is divisible by both numbers.

Least Common Multiple (LCM) of 3140 and 3144 is 2468040.

LCM(3140,3144) = 2468040

LCM of 3140 and 3144

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

LCM of:
and

Least Common Multiple of 3140 and 3144

LCM of 3140 and 3144 is 2468040

Least common multiple can be found by multiplying the highest exponent prime factors of 3140 and 3144. First we will calculate the prime factors of 3140 and 3144.

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 3144


2 3144
2 1572
2 786
3 393
131 131
1

Prime factors of 3144 are 2, 3,131. Prime factorization of 3144 in exponential form is:

3144 = 23×31×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 3140 and 3144.

LCM(3140,3144) = 23×31×51×1311×1571
LCM(3140,3144) = 2468040

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 3144

List of positive integer factors of 3144 that divides 3144 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 131, 262, 393, 524, 786, 1048, 1572, 3144

Least Common Multiple of 3140 and 3144 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 3144, than apply into the LCM equation.

GCF(3140,3144) = 4
LCM(3140,3144) = ( 3140 × 3144) / 4
LCM(3140,3144) = 9872160 / 4
LCM(3140,3144) = 2468040

Properties of LCM 3140 and 3144

(i) The LCM of 3144 and 3140 is associative

LCM of 3140 and 3144 = LCM of 3144 and 3140

Related Least Common Multiples of 3140

Related Least Common Multiples of 3144

Frequently Asked Questions on LCM of 3140 and 3144

1. What is the LCM of 3140 and 3144?

Answer: LCM of 3140 and 3144 is 2468040.

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 3144?

Answer: Factors of 3144 are 1, 2, 3, 4, 6, 8, 12, 24, 131, 262, 393, 524, 786, 1048, 1572, 3144. There are 16 integers that are factors of 3144. The greatest factor of 3144 is 3144.

4. How to Find the LCM of 3140 and 3144?

Answer:

Least Common Multiple of 3140 and 3144 = 2468040

Step 1: Find the prime factorization of 3140

3140 = 2 x 2 x 5 x 157

Step 2: Find the prime factorization of 3144

3144 = 2 x 2 x 2 x 3 x 131

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

LCM = 2468040 = 2 x 2 x 2 x 3 x 5 x 131 x 157

Step 4: Therefore, the least common multiple of 3140 and 3144 is 2468040.