Least Common Multiple of 2148 and 2150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2148 and 2150 the smallest integer that is 2309100 that is divisible by both numbers.

Least Common Multiple (LCM) of 2148 and 2150 is 2309100.

LCM(2148,2150) = 2309100

LCM of 2148 and 2150

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

LCM of:
and

Least Common Multiple of 2148 and 2150

LCM of 2148 and 2150 is 2309100

Least common multiple can be found by multiplying the highest exponent prime factors of 2148 and 2150. First we will calculate the prime factors of 2148 and 2150.

Prime Factorization of 2148


2 2148
2 1074
3 537
179 179
1

Prime factors of 2148 are 2, 3,179. Prime factorization of 2148 in exponential form is:

2148 = 22×31×1791

Prime Factorization of 2150


2 2150
5 1075
5 215
43 43
1

Prime factors of 2150 are 2, 5,43. Prime factorization of 2150 in exponential form is:

2150 = 21×52×431

Now multiplying the highest exponent prime factors to calculate the LCM of 2148 and 2150.

LCM(2148,2150) = 22×31×52×431×1791
LCM(2148,2150) = 2309100

Factors of 2148

List of positive integer factors of 2148 that divides 2148 without a remainder.

1, 2, 3, 4, 6, 12, 179, 358, 537, 716, 1074, 2148

Factors of 2150

List of positive integer factors of 2150 that divides 2150 without a remainder.

1, 2, 5, 10, 25, 43, 50, 86, 215, 430, 1075, 2150

Least Common Multiple of 2148 and 2150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2148 and 2150, than apply into the LCM equation.

GCF(2148,2150) = 2
LCM(2148,2150) = ( 2148 × 2150) / 2
LCM(2148,2150) = 4618200 / 2
LCM(2148,2150) = 2309100

Properties of LCM 2148 and 2150

(i) The LCM of 2150 and 2148 is associative

LCM of 2148 and 2150 = LCM of 2150 and 2148

Related Least Common Multiples of 2148

Related Least Common Multiples of 2150

Frequently Asked Questions on LCM of 2148 and 2150

1. What is the LCM of 2148 and 2150?

Answer: LCM of 2148 and 2150 is 2309100.

2. What are the Factors of 2148?

Answer: Factors of 2148 are 1, 2, 3, 4, 6, 12, 179, 358, 537, 716, 1074, 2148. There are 12 integers that are factors of 2148. The greatest factor of 2148 is 2148.

3. What are the Factors of 2150?

Answer: Factors of 2150 are 1, 2, 5, 10, 25, 43, 50, 86, 215, 430, 1075, 2150. There are 12 integers that are factors of 2150. The greatest factor of 2150 is 2150.

4. How to Find the LCM of 2148 and 2150?

Answer:

Least Common Multiple of 2148 and 2150 = 2309100

Step 1: Find the prime factorization of 2148

2148 = 2 x 2 x 3 x 179

Step 2: Find the prime factorization of 2150

2150 = 2 x 5 x 5 x 43

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

LCM = 2309100 = 2 x 2 x 3 x 5 x 5 x 43 x 179

Step 4: Therefore, the least common multiple of 2148 and 2150 is 2309100.