Least Common Multiple of 374 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 374 and 382 the smallest integer that is 71434 that is divisible by both numbers.

Least Common Multiple (LCM) of 374 and 382 is 71434.

LCM(374,382) = 71434

LCM of 374 and 382

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

LCM of:
and

Least Common Multiple of 374 and 382

LCM of 374 and 382 is 71434

Least common multiple can be found by multiplying the highest exponent prime factors of 374 and 382. First we will calculate the prime factors of 374 and 382.

Prime Factorization of 374


2 374
11 187
17 17
1

Prime factors of 374 are 2, 11,17. Prime factorization of 374 in exponential form is:

374 = 21×111×171

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 374 and 382.

LCM(374,382) = 21×111×171×1911
LCM(374,382) = 71434

Factors of 374

List of positive integer factors of 374 that divides 374 without a remainder.

1, 2, 11, 17, 22, 34, 187, 374

Factors of 382

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

1, 2, 191, 382

Least Common Multiple of 374 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 374 and 382, than apply into the LCM equation.

GCF(374,382) = 2
LCM(374,382) = ( 374 × 382) / 2
LCM(374,382) = 142868 / 2
LCM(374,382) = 71434

Properties of LCM 374 and 382

(i) The LCM of 382 and 374 is associative

LCM of 374 and 382 = LCM of 382 and 374

Related Least Common Multiples of 374

Related Least Common Multiples of 382

Frequently Asked Questions on LCM of 374 and 382

1. What is the LCM of 374 and 382?

Answer: LCM of 374 and 382 is 71434.

2. What are the Factors of 374?

Answer: Factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374. There are 8 integers that are factors of 374. The greatest factor of 374 is 374.

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 374 and 382?

Answer:

Least Common Multiple of 374 and 382 = 71434

Step 1: Find the prime factorization of 374

374 = 2 x 11 x 17

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 = 71434 = 2 x 11 x 17 x 191

Step 4: Therefore, the least common multiple of 374 and 382 is 71434.