Least Common Multiple of 3148 and 3155

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 3155 the smallest integer that is 9931940 that is divisible by both numbers.

Least Common Multiple (LCM) of 3148 and 3155 is 9931940.

LCM(3148,3155) = 9931940

LCM of 3148 and 3155

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

LCM of:
and

Least Common Multiple of 3148 and 3155

LCM of 3148 and 3155 is 9931940

Least common multiple can be found by multiplying the highest exponent prime factors of 3148 and 3155. First we will calculate the prime factors of 3148 and 3155.

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 3155


5 3155
631 631
1

Prime factors of 3155 are 5,631. Prime factorization of 3155 in exponential form is:

3155 = 51×6311

Now multiplying the highest exponent prime factors to calculate the LCM of 3148 and 3155.

LCM(3148,3155) = 22×51×6311×7871
LCM(3148,3155) = 9931940

Factors of 3148

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

1, 2, 4, 787, 1574, 3148

Factors of 3155

List of positive integer factors of 3155 that divides 3155 without a remainder.

1, 5, 631, 3155

Least Common Multiple of 3148 and 3155 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 3155, than apply into the LCM equation.

GCF(3148,3155) = 1
LCM(3148,3155) = ( 3148 × 3155) / 1
LCM(3148,3155) = 9931940 / 1
LCM(3148,3155) = 9931940

Properties of LCM 3148 and 3155

(i) The LCM of 3155 and 3148 is associative

LCM of 3148 and 3155 = LCM of 3155 and 3148

Related Least Common Multiples of 3148

Related Least Common Multiples of 3155

Frequently Asked Questions on LCM of 3148 and 3155

1. What is the LCM of 3148 and 3155?

Answer: LCM of 3148 and 3155 is 9931940.

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 3155?

Answer: Factors of 3155 are 1, 5, 631, 3155. There are 4 integers that are factors of 3155. The greatest factor of 3155 is 3155.

4. How to Find the LCM of 3148 and 3155?

Answer:

Least Common Multiple of 3148 and 3155 = 9931940

Step 1: Find the prime factorization of 3148

3148 = 2 x 2 x 787

Step 2: Find the prime factorization of 3155

3155 = 5 x 631

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

LCM = 9931940 = 2 x 2 x 5 x 631 x 787

Step 4: Therefore, the least common multiple of 3148 and 3155 is 9931940.