Least Common Multiple of 3148 and 3156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3148 and 3156 the smallest integer that is 2483772 that is divisible by both numbers.

Least Common Multiple (LCM) of 3148 and 3156 is 2483772.

LCM(3148,3156) = 2483772

LCM of 3148 and 3156

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

LCM of:
and

Least Common Multiple of 3148 and 3156

LCM of 3148 and 3156 is 2483772

Least common multiple can be found by multiplying the highest exponent prime factors of 3148 and 3156. First we will calculate the prime factors of 3148 and 3156.

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

Prime Factorization of 3156


2 3156
2 1578
3 789
263 263
1

Prime factors of 3156 are 2, 3,263. Prime factorization of 3156 in exponential form is:

3156 = 22×31×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 3148 and 3156.

LCM(3148,3156) = 22×31×2631×7871
LCM(3148,3156) = 2483772

Factors of 3148

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

1, 2, 4, 787, 1574, 3148

Factors of 3156

List of positive integer factors of 3156 that divides 3156 without a remainder.

1, 2, 3, 4, 6, 12, 263, 526, 789, 1052, 1578, 3156

Least Common Multiple of 3148 and 3156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3148 and 3156, than apply into the LCM equation.

GCF(3148,3156) = 4
LCM(3148,3156) = ( 3148 × 3156) / 4
LCM(3148,3156) = 9935088 / 4
LCM(3148,3156) = 2483772

Properties of LCM 3148 and 3156

(i) The LCM of 3156 and 3148 is associative

LCM of 3148 and 3156 = LCM of 3156 and 3148

Related Least Common Multiples of 3148

Related Least Common Multiples of 3156

Frequently Asked Questions on LCM of 3148 and 3156

1. What is the LCM of 3148 and 3156?

Answer: LCM of 3148 and 3156 is 2483772.

2. 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.

3. What are the Factors of 3156?

Answer: Factors of 3156 are 1, 2, 3, 4, 6, 12, 263, 526, 789, 1052, 1578, 3156. There are 12 integers that are factors of 3156. The greatest factor of 3156 is 3156.

4. How to Find the LCM of 3148 and 3156?

Answer:

Least Common Multiple of 3148 and 3156 = 2483772

Step 1: Find the prime factorization of 3148

3148 = 2 x 2 x 787

Step 2: Find the prime factorization of 3156

3156 = 2 x 2 x 3 x 263

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

LCM = 2483772 = 2 x 2 x 3 x 263 x 787

Step 4: Therefore, the least common multiple of 3148 and 3156 is 2483772.