Least Common Multiple of 2362 and 2369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2362 and 2369 the smallest integer that is 5595578 that is divisible by both numbers.

Least Common Multiple (LCM) of 2362 and 2369 is 5595578.

LCM(2362,2369) = 5595578

LCM of 2362 and 2369

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

LCM of:
and

Least Common Multiple of 2362 and 2369

LCM of 2362 and 2369 is 5595578

Least common multiple can be found by multiplying the highest exponent prime factors of 2362 and 2369. First we will calculate the prime factors of 2362 and 2369.

Prime Factorization of 2362


2 2362
1181 1181
1

Prime factors of 2362 are 2,1181. Prime factorization of 2362 in exponential form is:

2362 = 21×11811

Prime Factorization of 2369


23 2369
103 103
1

Prime factors of 2369 are 23,103. Prime factorization of 2369 in exponential form is:

2369 = 231×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 2362 and 2369.

LCM(2362,2369) = 21×231×1031×11811
LCM(2362,2369) = 5595578

Factors of 2362

List of positive integer factors of 2362 that divides 2362 without a remainder.

1, 2, 1181, 2362

Factors of 2369

List of positive integer factors of 2369 that divides 2369 without a remainder.

1, 23, 103, 2369

Least Common Multiple of 2362 and 2369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2362 and 2369, than apply into the LCM equation.

GCF(2362,2369) = 1
LCM(2362,2369) = ( 2362 × 2369) / 1
LCM(2362,2369) = 5595578 / 1
LCM(2362,2369) = 5595578

Properties of LCM 2362 and 2369

(i) The LCM of 2369 and 2362 is associative

LCM of 2362 and 2369 = LCM of 2369 and 2362

Related Least Common Multiples of 2362

Related Least Common Multiples of 2369

Frequently Asked Questions on LCM of 2362 and 2369

1. What is the LCM of 2362 and 2369?

Answer: LCM of 2362 and 2369 is 5595578.

2. What are the Factors of 2362?

Answer: Factors of 2362 are 1, 2, 1181, 2362. There are 4 integers that are factors of 2362. The greatest factor of 2362 is 2362.

3. What are the Factors of 2369?

Answer: Factors of 2369 are 1, 23, 103, 2369. There are 4 integers that are factors of 2369. The greatest factor of 2369 is 2369.

4. How to Find the LCM of 2362 and 2369?

Answer:

Least Common Multiple of 2362 and 2369 = 5595578

Step 1: Find the prime factorization of 2362

2362 = 2 x 1181

Step 2: Find the prime factorization of 2369

2369 = 23 x 103

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

LCM = 5595578 = 2 x 23 x 103 x 1181

Step 4: Therefore, the least common multiple of 2362 and 2369 is 5595578.