Least Common Multiple of 3143 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 3143 and 3148 the smallest integer that is 9894164 that is divisible by both numbers.

Least Common Multiple (LCM) of 3143 and 3148 is 9894164.

LCM(3143,3148) = 9894164

LCM of 3143 and 3148

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

LCM of:
and

Least Common Multiple of 3143 and 3148

LCM of 3143 and 3148 is 9894164

Least common multiple can be found by multiplying the highest exponent prime factors of 3143 and 3148. First we will calculate the prime factors of 3143 and 3148.

Prime Factorization of 3143


7 3143
449 449
1

Prime factors of 3143 are 7,449. Prime factorization of 3143 in exponential form is:

3143 = 71×4491

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 3143 and 3148.

LCM(3143,3148) = 22×71×4491×7871
LCM(3143,3148) = 9894164

Factors of 3143

List of positive integer factors of 3143 that divides 3143 without a remainder.

1, 7, 449, 3143

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 3143 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 3143 and 3148, than apply into the LCM equation.

GCF(3143,3148) = 1
LCM(3143,3148) = ( 3143 × 3148) / 1
LCM(3143,3148) = 9894164 / 1
LCM(3143,3148) = 9894164

Properties of LCM 3143 and 3148

(i) The LCM of 3148 and 3143 is associative

LCM of 3143 and 3148 = LCM of 3148 and 3143

Related Least Common Multiples of 3143

Related Least Common Multiples of 3148

Frequently Asked Questions on LCM of 3143 and 3148

1. What is the LCM of 3143 and 3148?

Answer: LCM of 3143 and 3148 is 9894164.

2. What are the Factors of 3143?

Answer: Factors of 3143 are 1, 7, 449, 3143. There are 4 integers that are factors of 3143. The greatest factor of 3143 is 3143.

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 3143 and 3148?

Answer:

Least Common Multiple of 3143 and 3148 = 9894164

Step 1: Find the prime factorization of 3143

3143 = 7 x 449

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 = 9894164 = 2 x 2 x 7 x 449 x 787

Step 4: Therefore, the least common multiple of 3143 and 3148 is 9894164.