Least Common Multiple of 2316 and 2323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2316 and 2323 the smallest integer that is 5380068 that is divisible by both numbers.

Least Common Multiple (LCM) of 2316 and 2323 is 5380068.

LCM(2316,2323) = 5380068

LCM of 2316 and 2323

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

LCM of:
and

Least Common Multiple of 2316 and 2323

LCM of 2316 and 2323 is 5380068

Least common multiple can be found by multiplying the highest exponent prime factors of 2316 and 2323. First we will calculate the prime factors of 2316 and 2323.

Prime Factorization of 2316


2 2316
2 1158
3 579
193 193
1

Prime factors of 2316 are 2, 3,193. Prime factorization of 2316 in exponential form is:

2316 = 22×31×1931

Prime Factorization of 2323


23 2323
101 101
1

Prime factors of 2323 are 23,101. Prime factorization of 2323 in exponential form is:

2323 = 231×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 2316 and 2323.

LCM(2316,2323) = 22×31×231×1011×1931
LCM(2316,2323) = 5380068

Factors of 2316

List of positive integer factors of 2316 that divides 2316 without a remainder.

1, 2, 3, 4, 6, 12, 193, 386, 579, 772, 1158, 2316

Factors of 2323

List of positive integer factors of 2323 that divides 2323 without a remainder.

1, 23, 101, 2323

Least Common Multiple of 2316 and 2323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2316 and 2323, than apply into the LCM equation.

GCF(2316,2323) = 1
LCM(2316,2323) = ( 2316 × 2323) / 1
LCM(2316,2323) = 5380068 / 1
LCM(2316,2323) = 5380068

Properties of LCM 2316 and 2323

(i) The LCM of 2323 and 2316 is associative

LCM of 2316 and 2323 = LCM of 2323 and 2316

Related Least Common Multiples of 2316

Related Least Common Multiples of 2323

Frequently Asked Questions on LCM of 2316 and 2323

1. What is the LCM of 2316 and 2323?

Answer: LCM of 2316 and 2323 is 5380068.

2. What are the Factors of 2316?

Answer: Factors of 2316 are 1, 2, 3, 4, 6, 12, 193, 386, 579, 772, 1158, 2316. There are 12 integers that are factors of 2316. The greatest factor of 2316 is 2316.

3. What are the Factors of 2323?

Answer: Factors of 2323 are 1, 23, 101, 2323. There are 4 integers that are factors of 2323. The greatest factor of 2323 is 2323.

4. How to Find the LCM of 2316 and 2323?

Answer:

Least Common Multiple of 2316 and 2323 = 5380068

Step 1: Find the prime factorization of 2316

2316 = 2 x 2 x 3 x 193

Step 2: Find the prime factorization of 2323

2323 = 23 x 101

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

LCM = 5380068 = 2 x 2 x 3 x 23 x 101 x 193

Step 4: Therefore, the least common multiple of 2316 and 2323 is 5380068.