Least Common Multiple of 2345 and 2350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2345 and 2350 the smallest integer that is 1102150 that is divisible by both numbers.

Least Common Multiple (LCM) of 2345 and 2350 is 1102150.

LCM(2345,2350) = 1102150

LCM of 2345 and 2350

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

LCM of:
and

Least Common Multiple of 2345 and 2350

LCM of 2345 and 2350 is 1102150

Least common multiple can be found by multiplying the highest exponent prime factors of 2345 and 2350. First we will calculate the prime factors of 2345 and 2350.

Prime Factorization of 2345


5 2345
7 469
67 67
1

Prime factors of 2345 are 5, 7,67. Prime factorization of 2345 in exponential form is:

2345 = 51×71×671

Prime Factorization of 2350


2 2350
5 1175
5 235
47 47
1

Prime factors of 2350 are 2, 5,47. Prime factorization of 2350 in exponential form is:

2350 = 21×52×471

Now multiplying the highest exponent prime factors to calculate the LCM of 2345 and 2350.

LCM(2345,2350) = 21×52×71×471×671
LCM(2345,2350) = 1102150

Factors of 2345

List of positive integer factors of 2345 that divides 2345 without a remainder.

1, 5, 7, 35, 67, 335, 469, 2345

Factors of 2350

List of positive integer factors of 2350 that divides 2350 without a remainder.

1, 2, 5, 10, 25, 47, 50, 94, 235, 470, 1175, 2350

Least Common Multiple of 2345 and 2350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2345 and 2350, than apply into the LCM equation.

GCF(2345,2350) = 5
LCM(2345,2350) = ( 2345 × 2350) / 5
LCM(2345,2350) = 5510750 / 5
LCM(2345,2350) = 1102150

Properties of LCM 2345 and 2350

(i) The LCM of 2350 and 2345 is associative

LCM of 2345 and 2350 = LCM of 2350 and 2345

Related Least Common Multiples of 2345

Related Least Common Multiples of 2350

Frequently Asked Questions on LCM of 2345 and 2350

1. What is the LCM of 2345 and 2350?

Answer: LCM of 2345 and 2350 is 1102150.

2. What are the Factors of 2345?

Answer: Factors of 2345 are 1, 5, 7, 35, 67, 335, 469, 2345. There are 8 integers that are factors of 2345. The greatest factor of 2345 is 2345.

3. What are the Factors of 2350?

Answer: Factors of 2350 are 1, 2, 5, 10, 25, 47, 50, 94, 235, 470, 1175, 2350. There are 12 integers that are factors of 2350. The greatest factor of 2350 is 2350.

4. How to Find the LCM of 2345 and 2350?

Answer:

Least Common Multiple of 2345 and 2350 = 1102150

Step 1: Find the prime factorization of 2345

2345 = 5 x 7 x 67

Step 2: Find the prime factorization of 2350

2350 = 2 x 5 x 5 x 47

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

LCM = 1102150 = 2 x 5 x 5 x 7 x 47 x 67

Step 4: Therefore, the least common multiple of 2345 and 2350 is 1102150.