Least Common Multiple of 3148 and 3150

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 3150 the smallest integer that is 4958100 that is divisible by both numbers.

Least Common Multiple (LCM) of 3148 and 3150 is 4958100.

LCM(3148,3150) = 4958100

LCM of 3148 and 3150

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

LCM of:
and

Least Common Multiple of 3148 and 3150

LCM of 3148 and 3150 is 4958100

Least common multiple can be found by multiplying the highest exponent prime factors of 3148 and 3150. First we will calculate the prime factors of 3148 and 3150.

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 3150


2 3150
3 1575
3 525
5 175
5 35
7 7
1

Prime factors of 3150 are 2, 3, 5,7. Prime factorization of 3150 in exponential form is:

3150 = 21×32×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 3148 and 3150.

LCM(3148,3150) = 22×32×52×71×7871
LCM(3148,3150) = 4958100

Factors of 3148

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

1, 2, 4, 787, 1574, 3148

Factors of 3150

List of positive integer factors of 3150 that divides 3150 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150

Least Common Multiple of 3148 and 3150 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 3150, than apply into the LCM equation.

GCF(3148,3150) = 2
LCM(3148,3150) = ( 3148 × 3150) / 2
LCM(3148,3150) = 9916200 / 2
LCM(3148,3150) = 4958100

Properties of LCM 3148 and 3150

(i) The LCM of 3150 and 3148 is associative

LCM of 3148 and 3150 = LCM of 3150 and 3148

Related Least Common Multiples of 3148

Related Least Common Multiples of 3150

Frequently Asked Questions on LCM of 3148 and 3150

1. What is the LCM of 3148 and 3150?

Answer: LCM of 3148 and 3150 is 4958100.

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 3150?

Answer: Factors of 3150 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150. There are 36 integers that are factors of 3150. The greatest factor of 3150 is 3150.

4. How to Find the LCM of 3148 and 3150?

Answer:

Least Common Multiple of 3148 and 3150 = 4958100

Step 1: Find the prime factorization of 3148

3148 = 2 x 2 x 787

Step 2: Find the prime factorization of 3150

3150 = 2 x 3 x 3 x 5 x 5 x 7

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

LCM = 4958100 = 2 x 2 x 3 x 3 x 5 x 5 x 7 x 787

Step 4: Therefore, the least common multiple of 3148 and 3150 is 4958100.