Least Common Multiple of 376 and 382

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 382 the smallest integer that is 71816 that is divisible by both numbers.

Least Common Multiple (LCM) of 376 and 382 is 71816.

LCM(376,382) = 71816

LCM of 376 and 382

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

LCM of:
and

Least Common Multiple of 376 and 382

LCM of 376 and 382 is 71816

Least common multiple can be found by multiplying the highest exponent prime factors of 376 and 382. First we will calculate the prime factors of 376 and 382.

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 382


2 382
191 191
1

Prime factors of 382 are 2,191. Prime factorization of 382 in exponential form is:

382 = 21×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 376 and 382.

LCM(376,382) = 23×471×1911
LCM(376,382) = 71816

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 382

List of positive integer factors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Least Common Multiple of 376 and 382 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 382, than apply into the LCM equation.

GCF(376,382) = 2
LCM(376,382) = ( 376 × 382) / 2
LCM(376,382) = 143632 / 2
LCM(376,382) = 71816

Properties of LCM 376 and 382

(i) The LCM of 382 and 376 is associative

LCM of 376 and 382 = LCM of 382 and 376

Related Least Common Multiples of 376

Related Least Common Multiples of 382

Frequently Asked Questions on LCM of 376 and 382

1. What is the LCM of 376 and 382?

Answer: LCM of 376 and 382 is 71816.

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 382?

Answer: Factors of 382 are 1, 2, 191, 382. There are 4 integers that are factors of 382. The greatest factor of 382 is 382.

4. How to Find the LCM of 376 and 382?

Answer:

Least Common Multiple of 376 and 382 = 71816

Step 1: Find the prime factorization of 376

376 = 2 x 2 x 2 x 47

Step 2: Find the prime factorization of 382

382 = 2 x 191

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

LCM = 71816 = 2 x 2 x 2 x 47 x 191

Step 4: Therefore, the least common multiple of 376 and 382 is 71816.