Least Common Multiple of 3140 and 3148

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 3148 the smallest integer that is 2471180 that is divisible by both numbers.

Least Common Multiple (LCM) of 3140 and 3148 is 2471180.

LCM(3140,3148) = 2471180

LCM of 3140 and 3148

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

LCM of:
and

Least Common Multiple of 3140 and 3148

LCM of 3140 and 3148 is 2471180

Least common multiple can be found by multiplying the highest exponent prime factors of 3140 and 3148. First we will calculate the prime factors of 3140 and 3148.

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 3148


2 3148
2 1574
787 787
1

Prime factors of 3148 are 2,787. Prime factorization of 3148 in exponential form is:

3148 = 22×7871

Now multiplying the highest exponent prime factors to calculate the LCM of 3140 and 3148.

LCM(3140,3148) = 22×51×1571×7871
LCM(3140,3148) = 2471180

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 3148

List of positive integer factors of 3148 that divides 3148 without a remainder.

1, 2, 4, 787, 1574, 3148

Least Common Multiple of 3140 and 3148 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 3148, than apply into the LCM equation.

GCF(3140,3148) = 4
LCM(3140,3148) = ( 3140 × 3148) / 4
LCM(3140,3148) = 9884720 / 4
LCM(3140,3148) = 2471180

Properties of LCM 3140 and 3148

(i) The LCM of 3148 and 3140 is associative

LCM of 3140 and 3148 = LCM of 3148 and 3140

Related Least Common Multiples of 3140

Related Least Common Multiples of 3148

Frequently Asked Questions on LCM of 3140 and 3148

1. What is the LCM of 3140 and 3148?

Answer: LCM of 3140 and 3148 is 2471180.

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 3148?

Answer: Factors of 3148 are 1, 2, 4, 787, 1574, 3148. There are 6 integers that are factors of 3148. The greatest factor of 3148 is 3148.

4. How to Find the LCM of 3140 and 3148?

Answer:

Least Common Multiple of 3140 and 3148 = 2471180

Step 1: Find the prime factorization of 3140

3140 = 2 x 2 x 5 x 157

Step 2: Find the prime factorization of 3148

3148 = 2 x 2 x 787

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

LCM = 2471180 = 2 x 2 x 5 x 157 x 787

Step 4: Therefore, the least common multiple of 3140 and 3148 is 2471180.