Least Common Multiple of 3134 and 3140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3134 and 3140 the smallest integer that is 4920380 that is divisible by both numbers.

Least Common Multiple (LCM) of 3134 and 3140 is 4920380.

LCM(3134,3140) = 4920380

LCM of 3134 and 3140

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

LCM of:
and

Least Common Multiple of 3134 and 3140

LCM of 3134 and 3140 is 4920380

Least common multiple can be found by multiplying the highest exponent prime factors of 3134 and 3140. First we will calculate the prime factors of 3134 and 3140.

Prime Factorization of 3134


2 3134
1567 1567
1

Prime factors of 3134 are 2,1567. Prime factorization of 3134 in exponential form is:

3134 = 21×15671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3134 and 3140.

LCM(3134,3140) = 22×51×1571×15671
LCM(3134,3140) = 4920380

Factors of 3134

List of positive integer factors of 3134 that divides 3134 without a remainder.

1, 2, 1567, 3134

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

Least Common Multiple of 3134 and 3140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3134 and 3140, than apply into the LCM equation.

GCF(3134,3140) = 2
LCM(3134,3140) = ( 3134 × 3140) / 2
LCM(3134,3140) = 9840760 / 2
LCM(3134,3140) = 4920380

Properties of LCM 3134 and 3140

(i) The LCM of 3140 and 3134 is associative

LCM of 3134 and 3140 = LCM of 3140 and 3134

Related Least Common Multiples of 3134

Related Least Common Multiples of 3140

Frequently Asked Questions on LCM of 3134 and 3140

1. What is the LCM of 3134 and 3140?

Answer: LCM of 3134 and 3140 is 4920380.

2. What are the Factors of 3134?

Answer: Factors of 3134 are 1, 2, 1567, 3134. There are 4 integers that are factors of 3134. The greatest factor of 3134 is 3134.

3. 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.

4. How to Find the LCM of 3134 and 3140?

Answer:

Least Common Multiple of 3134 and 3140 = 4920380

Step 1: Find the prime factorization of 3134

3134 = 2 x 1567

Step 2: Find the prime factorization of 3140

3140 = 2 x 2 x 5 x 157

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

LCM = 4920380 = 2 x 2 x 5 x 157 x 1567

Step 4: Therefore, the least common multiple of 3134 and 3140 is 4920380.