Least Common Multiple of 3142 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 3142 and 3148 the smallest integer that is 4945508 that is divisible by both numbers.

Least Common Multiple (LCM) of 3142 and 3148 is 4945508.

LCM(3142,3148) = 4945508

LCM of 3142 and 3148

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

LCM of:
and

Least Common Multiple of 3142 and 3148

LCM of 3142 and 3148 is 4945508

Least common multiple can be found by multiplying the highest exponent prime factors of 3142 and 3148. First we will calculate the prime factors of 3142 and 3148.

Prime Factorization of 3142


2 3142
1571 1571
1

Prime factors of 3142 are 2,1571. Prime factorization of 3142 in exponential form is:

3142 = 21×15711

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 3142 and 3148.

LCM(3142,3148) = 22×7871×15711
LCM(3142,3148) = 4945508

Factors of 3142

List of positive integer factors of 3142 that divides 3142 without a remainder.

1, 2, 1571, 3142

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 3142 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 3142 and 3148, than apply into the LCM equation.

GCF(3142,3148) = 2
LCM(3142,3148) = ( 3142 × 3148) / 2
LCM(3142,3148) = 9891016 / 2
LCM(3142,3148) = 4945508

Properties of LCM 3142 and 3148

(i) The LCM of 3148 and 3142 is associative

LCM of 3142 and 3148 = LCM of 3148 and 3142

Related Least Common Multiples of 3142

Related Least Common Multiples of 3148

Frequently Asked Questions on LCM of 3142 and 3148

1. What is the LCM of 3142 and 3148?

Answer: LCM of 3142 and 3148 is 4945508.

2. What are the Factors of 3142?

Answer: Factors of 3142 are 1, 2, 1571, 3142. There are 4 integers that are factors of 3142. The greatest factor of 3142 is 3142.

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 3142 and 3148?

Answer:

Least Common Multiple of 3142 and 3148 = 4945508

Step 1: Find the prime factorization of 3142

3142 = 2 x 1571

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 = 4945508 = 2 x 2 x 787 x 1571

Step 4: Therefore, the least common multiple of 3142 and 3148 is 4945508.