Least Common Multiple of 2367 and 2374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2367 and 2374 the smallest integer that is 5619258 that is divisible by both numbers.

Least Common Multiple (LCM) of 2367 and 2374 is 5619258.

LCM(2367,2374) = 5619258

LCM of 2367 and 2374

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

LCM of:
and

Least Common Multiple of 2367 and 2374

LCM of 2367 and 2374 is 5619258

Least common multiple can be found by multiplying the highest exponent prime factors of 2367 and 2374. First we will calculate the prime factors of 2367 and 2374.

Prime Factorization of 2367


3 2367
3 789
263 263
1

Prime factors of 2367 are 3,263. Prime factorization of 2367 in exponential form is:

2367 = 32×2631

Prime Factorization of 2374


2 2374
1187 1187
1

Prime factors of 2374 are 2,1187. Prime factorization of 2374 in exponential form is:

2374 = 21×11871

Now multiplying the highest exponent prime factors to calculate the LCM of 2367 and 2374.

LCM(2367,2374) = 21×32×2631×11871
LCM(2367,2374) = 5619258

Factors of 2367

List of positive integer factors of 2367 that divides 2367 without a remainder.

1, 3, 9, 263, 789, 2367

Factors of 2374

List of positive integer factors of 2374 that divides 2374 without a remainder.

1, 2, 1187, 2374

Least Common Multiple of 2367 and 2374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2367 and 2374, than apply into the LCM equation.

GCF(2367,2374) = 1
LCM(2367,2374) = ( 2367 × 2374) / 1
LCM(2367,2374) = 5619258 / 1
LCM(2367,2374) = 5619258

Properties of LCM 2367 and 2374

(i) The LCM of 2374 and 2367 is associative

LCM of 2367 and 2374 = LCM of 2374 and 2367

Related Least Common Multiples of 2367

Related Least Common Multiples of 2374

Frequently Asked Questions on LCM of 2367 and 2374

1. What is the LCM of 2367 and 2374?

Answer: LCM of 2367 and 2374 is 5619258.

2. What are the Factors of 2367?

Answer: Factors of 2367 are 1, 3, 9, 263, 789, 2367. There are 6 integers that are factors of 2367. The greatest factor of 2367 is 2367.

3. What are the Factors of 2374?

Answer: Factors of 2374 are 1, 2, 1187, 2374. There are 4 integers that are factors of 2374. The greatest factor of 2374 is 2374.

4. How to Find the LCM of 2367 and 2374?

Answer:

Least Common Multiple of 2367 and 2374 = 5619258

Step 1: Find the prime factorization of 2367

2367 = 3 x 3 x 263

Step 2: Find the prime factorization of 2374

2374 = 2 x 1187

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

LCM = 5619258 = 2 x 3 x 3 x 263 x 1187

Step 4: Therefore, the least common multiple of 2367 and 2374 is 5619258.