Least Common Multiple of 376 and 383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 376 and 383 the smallest integer that is 144008 that is divisible by both numbers.

Least Common Multiple (LCM) of 376 and 383 is 144008.

LCM(376,383) = 144008

LCM of 376 and 383

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

LCM of:
and

Least Common Multiple of 376 and 383

LCM of 376 and 383 is 144008

Least common multiple can be found by multiplying the highest exponent prime factors of 376 and 383. First we will calculate the prime factors of 376 and 383.

Prime Factorization of 376


2 376
2 188
2 94
47 47
1

Prime factors of 376 are 2,47. Prime factorization of 376 in exponential form is:

376 = 23×471

Prime Factorization of 383


383 383
1

Prime factors of 383 are 383. Prime factorization of 383 in exponential form is:

383 = 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 376 and 383.

LCM(376,383) = 23×471×3831
LCM(376,383) = 144008

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1, 383

Least Common Multiple of 376 and 383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 376 and 383, than apply into the LCM equation.

GCF(376,383) = 1
LCM(376,383) = ( 376 × 383) / 1
LCM(376,383) = 144008 / 1
LCM(376,383) = 144008

Properties of LCM 376 and 383

(i) The LCM of 383 and 376 is associative

LCM of 376 and 383 = LCM of 383 and 376

Related Least Common Multiples of 376

Related Least Common Multiples of 383

Frequently Asked Questions on LCM of 376 and 383

1. What is the LCM of 376 and 383?

Answer: LCM of 376 and 383 is 144008.

2. What are the Factors of 376?

Answer: Factors of 376 are 1, 2, 4, 8, 47, 94, 188, 376. There are 8 integers that are factors of 376. The greatest factor of 376 is 376.

3. What are the Factors of 383?

Answer: Factors of 383 are 1, 383. There are 2 integers that are factors of 383. The greatest factor of 383 is 383.

4. How to Find the LCM of 376 and 383?

Answer:

Least Common Multiple of 376 and 383 = 144008

Step 1: Find the prime factorization of 376

376 = 2 x 2 x 2 x 47

Step 2: Find the prime factorization of 383

383 = 383

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

LCM = 144008 = 2 x 2 x 2 x 47 x 383

Step 4: Therefore, the least common multiple of 376 and 383 is 144008.