Least Common Multiple of 2371 and 2376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2371 and 2376 the smallest integer that is 5633496 that is divisible by both numbers.

Least Common Multiple (LCM) of 2371 and 2376 is 5633496.

LCM(2371,2376) = 5633496

LCM of 2371 and 2376

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

LCM of:
and

Least Common Multiple of 2371 and 2376

LCM of 2371 and 2376 is 5633496

Least common multiple can be found by multiplying the highest exponent prime factors of 2371 and 2376. First we will calculate the prime factors of 2371 and 2376.

Prime Factorization of 2371


2371 2371
1

Prime factors of 2371 are 2371. Prime factorization of 2371 in exponential form is:

2371 = 23711

Prime Factorization of 2376


2 2376
2 1188
2 594
3 297
3 99
3 33
11 11
1

Prime factors of 2376 are 2, 3,11. Prime factorization of 2376 in exponential form is:

2376 = 23×33×111

Now multiplying the highest exponent prime factors to calculate the LCM of 2371 and 2376.

LCM(2371,2376) = 23×33×111×23711
LCM(2371,2376) = 5633496

Factors of 2371

List of positive integer factors of 2371 that divides 2371 without a remainder.

1, 2371

Factors of 2376

List of positive integer factors of 2376 that divides 2376 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 88, 99, 108, 132, 198, 216, 264, 297, 396, 594, 792, 1188, 2376

Least Common Multiple of 2371 and 2376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2371 and 2376, than apply into the LCM equation.

GCF(2371,2376) = 1
LCM(2371,2376) = ( 2371 × 2376) / 1
LCM(2371,2376) = 5633496 / 1
LCM(2371,2376) = 5633496

Properties of LCM 2371 and 2376

(i) The LCM of 2376 and 2371 is associative

LCM of 2371 and 2376 = LCM of 2376 and 2371

Related Least Common Multiples of 2371

Related Least Common Multiples of 2376

Frequently Asked Questions on LCM of 2371 and 2376

1. What is the LCM of 2371 and 2376?

Answer: LCM of 2371 and 2376 is 5633496.

2. What are the Factors of 2371?

Answer: Factors of 2371 are 1, 2371. There are 2 integers that are factors of 2371. The greatest factor of 2371 is 2371.

3. What are the Factors of 2376?

Answer: Factors of 2376 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 27, 33, 36, 44, 54, 66, 72, 88, 99, 108, 132, 198, 216, 264, 297, 396, 594, 792, 1188, 2376. There are 32 integers that are factors of 2376. The greatest factor of 2376 is 2376.

4. How to Find the LCM of 2371 and 2376?

Answer:

Least Common Multiple of 2371 and 2376 = 5633496

Step 1: Find the prime factorization of 2371

2371 = 2371

Step 2: Find the prime factorization of 2376

2376 = 2 x 2 x 2 x 3 x 3 x 3 x 11

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

LCM = 5633496 = 2 x 2 x 2 x 3 x 3 x 3 x 11 x 2371

Step 4: Therefore, the least common multiple of 2371 and 2376 is 5633496.