Least Common Multiple of 367 and 374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 367 and 374 the smallest integer that is 137258 that is divisible by both numbers.

Least Common Multiple (LCM) of 367 and 374 is 137258.

LCM(367,374) = 137258

LCM of 367 and 374

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

LCM of:
and

Least Common Multiple of 367 and 374

LCM of 367 and 374 is 137258

Least common multiple can be found by multiplying the highest exponent prime factors of 367 and 374. First we will calculate the prime factors of 367 and 374.

Prime Factorization of 367


367 367
1

Prime factors of 367 are 367. Prime factorization of 367 in exponential form is:

367 = 3671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 367 and 374.

LCM(367,374) = 21×111×171×3671
LCM(367,374) = 137258

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1, 367

Factors of 374

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

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

Least Common Multiple of 367 and 374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 367 and 374, than apply into the LCM equation.

GCF(367,374) = 1
LCM(367,374) = ( 367 × 374) / 1
LCM(367,374) = 137258 / 1
LCM(367,374) = 137258

Properties of LCM 367 and 374

(i) The LCM of 374 and 367 is associative

LCM of 367 and 374 = LCM of 374 and 367

Related Least Common Multiples of 367

Related Least Common Multiples of 374

Frequently Asked Questions on LCM of 367 and 374

1. What is the LCM of 367 and 374?

Answer: LCM of 367 and 374 is 137258.

2. What are the Factors of 367?

Answer: Factors of 367 are 1, 367. There are 2 integers that are factors of 367. The greatest factor of 367 is 367.

3. 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.

4. How to Find the LCM of 367 and 374?

Answer:

Least Common Multiple of 367 and 374 = 137258

Step 1: Find the prime factorization of 367

367 = 367

Step 2: Find the prime factorization of 374

374 = 2 x 11 x 17

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

LCM = 137258 = 2 x 11 x 17 x 367

Step 4: Therefore, the least common multiple of 367 and 374 is 137258.