Least Common Multiple of 2374 and 2378

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2374 and 2378 the smallest integer that is 2822686 that is divisible by both numbers.

Least Common Multiple (LCM) of 2374 and 2378 is 2822686.

LCM(2374,2378) = 2822686

LCM of 2374 and 2378

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

LCM of:
and

Least Common Multiple of 2374 and 2378

LCM of 2374 and 2378 is 2822686

Least common multiple can be found by multiplying the highest exponent prime factors of 2374 and 2378. First we will calculate the prime factors of 2374 and 2378.

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

Prime Factorization of 2378


2 2378
29 1189
41 41
1

Prime factors of 2378 are 2, 29,41. Prime factorization of 2378 in exponential form is:

2378 = 21×291×411

Now multiplying the highest exponent prime factors to calculate the LCM of 2374 and 2378.

LCM(2374,2378) = 21×291×411×11871
LCM(2374,2378) = 2822686

Factors of 2374

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

1, 2, 1187, 2374

Factors of 2378

List of positive integer factors of 2378 that divides 2378 without a remainder.

1, 2, 29, 41, 58, 82, 1189, 2378

Least Common Multiple of 2374 and 2378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2374 and 2378, than apply into the LCM equation.

GCF(2374,2378) = 2
LCM(2374,2378) = ( 2374 × 2378) / 2
LCM(2374,2378) = 5645372 / 2
LCM(2374,2378) = 2822686

Properties of LCM 2374 and 2378

(i) The LCM of 2378 and 2374 is associative

LCM of 2374 and 2378 = LCM of 2378 and 2374

Related Least Common Multiples of 2374

Related Least Common Multiples of 2378

Frequently Asked Questions on LCM of 2374 and 2378

1. What is the LCM of 2374 and 2378?

Answer: LCM of 2374 and 2378 is 2822686.

2. 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.

3. What are the Factors of 2378?

Answer: Factors of 2378 are 1, 2, 29, 41, 58, 82, 1189, 2378. There are 8 integers that are factors of 2378. The greatest factor of 2378 is 2378.

4. How to Find the LCM of 2374 and 2378?

Answer:

Least Common Multiple of 2374 and 2378 = 2822686

Step 1: Find the prime factorization of 2374

2374 = 2 x 1187

Step 2: Find the prime factorization of 2378

2378 = 2 x 29 x 41

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

LCM = 2822686 = 2 x 29 x 41 x 1187

Step 4: Therefore, the least common multiple of 2374 and 2378 is 2822686.