Least Common Multiple of 379 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 379 and 382 the smallest integer that is 144778 that is divisible by both numbers.

Least Common Multiple (LCM) of 379 and 382 is 144778.

LCM(379,382) = 144778

LCM of 379 and 382

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

LCM of:
and

Least Common Multiple of 379 and 382

LCM of 379 and 382 is 144778

Least common multiple can be found by multiplying the highest exponent prime factors of 379 and 382. First we will calculate the prime factors of 379 and 382.

Prime Factorization of 379


379 379
1

Prime factors of 379 are 379. Prime factorization of 379 in exponential form is:

379 = 3791

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 379 and 382.

LCM(379,382) = 21×1911×3791
LCM(379,382) = 144778

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1, 379

Factors of 382

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

1, 2, 191, 382

Least Common Multiple of 379 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 379 and 382, than apply into the LCM equation.

GCF(379,382) = 1
LCM(379,382) = ( 379 × 382) / 1
LCM(379,382) = 144778 / 1
LCM(379,382) = 144778

Properties of LCM 379 and 382

(i) The LCM of 382 and 379 is associative

LCM of 379 and 382 = LCM of 382 and 379

Related Least Common Multiples of 379

Related Least Common Multiples of 382

Frequently Asked Questions on LCM of 379 and 382

1. What is the LCM of 379 and 382?

Answer: LCM of 379 and 382 is 144778.

2. What are the Factors of 379?

Answer: Factors of 379 are 1, 379. There are 2 integers that are factors of 379. The greatest factor of 379 is 379.

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 379 and 382?

Answer:

Least Common Multiple of 379 and 382 = 144778

Step 1: Find the prime factorization of 379

379 = 379

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 = 144778 = 2 x 191 x 379

Step 4: Therefore, the least common multiple of 379 and 382 is 144778.