Least Common Multiple of 2150 and 2156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2150 and 2156 the smallest integer that is 2317700 that is divisible by both numbers.

Least Common Multiple (LCM) of 2150 and 2156 is 2317700.

LCM(2150,2156) = 2317700

LCM of 2150 and 2156

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

LCM of:
and

Least Common Multiple of 2150 and 2156

LCM of 2150 and 2156 is 2317700

Least common multiple can be found by multiplying the highest exponent prime factors of 2150 and 2156. First we will calculate the prime factors of 2150 and 2156.

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

Prime Factorization of 2156


2 2156
2 1078
7 539
7 77
11 11
1

Prime factors of 2156 are 2, 7,11. Prime factorization of 2156 in exponential form is:

2156 = 22×72×111

Now multiplying the highest exponent prime factors to calculate the LCM of 2150 and 2156.

LCM(2150,2156) = 22×52×72×111×431
LCM(2150,2156) = 2317700

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

Factors of 2156

List of positive integer factors of 2156 that divides 2156 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156

Least Common Multiple of 2150 and 2156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2150 and 2156, than apply into the LCM equation.

GCF(2150,2156) = 2
LCM(2150,2156) = ( 2150 × 2156) / 2
LCM(2150,2156) = 4635400 / 2
LCM(2150,2156) = 2317700

Properties of LCM 2150 and 2156

(i) The LCM of 2156 and 2150 is associative

LCM of 2150 and 2156 = LCM of 2156 and 2150

Related Least Common Multiples of 2150

Related Least Common Multiples of 2156

Frequently Asked Questions on LCM of 2150 and 2156

1. What is the LCM of 2150 and 2156?

Answer: LCM of 2150 and 2156 is 2317700.

2. 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.

3. What are the Factors of 2156?

Answer: Factors of 2156 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 49, 77, 98, 154, 196, 308, 539, 1078, 2156. There are 18 integers that are factors of 2156. The greatest factor of 2156 is 2156.

4. How to Find the LCM of 2150 and 2156?

Answer:

Least Common Multiple of 2150 and 2156 = 2317700

Step 1: Find the prime factorization of 2150

2150 = 2 x 5 x 5 x 43

Step 2: Find the prime factorization of 2156

2156 = 2 x 2 x 7 x 7 x 11

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

LCM = 2317700 = 2 x 2 x 5 x 5 x 7 x 7 x 11 x 43

Step 4: Therefore, the least common multiple of 2150 and 2156 is 2317700.