Least Common Multiple of 367 and 370

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 370 the smallest integer that is 135790 that is divisible by both numbers.

Least Common Multiple (LCM) of 367 and 370 is 135790.

LCM(367,370) = 135790

LCM of 367 and 370

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

LCM of:
and

Least Common Multiple of 367 and 370

LCM of 367 and 370 is 135790

Least common multiple can be found by multiplying the highest exponent prime factors of 367 and 370. First we will calculate the prime factors of 367 and 370.

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 370


2 370
5 185
37 37
1

Prime factors of 370 are 2, 5,37. Prime factorization of 370 in exponential form is:

370 = 21×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 367 and 370.

LCM(367,370) = 21×51×371×3671
LCM(367,370) = 135790

Factors of 367

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

1, 367

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Least Common Multiple of 367 and 370 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 370, than apply into the LCM equation.

GCF(367,370) = 1
LCM(367,370) = ( 367 × 370) / 1
LCM(367,370) = 135790 / 1
LCM(367,370) = 135790

Properties of LCM 367 and 370

(i) The LCM of 370 and 367 is associative

LCM of 367 and 370 = LCM of 370 and 367

Related Least Common Multiples of 367

Related Least Common Multiples of 370

Frequently Asked Questions on LCM of 367 and 370

1. What is the LCM of 367 and 370?

Answer: LCM of 367 and 370 is 135790.

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 370?

Answer: Factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370. There are 8 integers that are factors of 370. The greatest factor of 370 is 370.

4. How to Find the LCM of 367 and 370?

Answer:

Least Common Multiple of 367 and 370 = 135790

Step 1: Find the prime factorization of 367

367 = 367

Step 2: Find the prime factorization of 370

370 = 2 x 5 x 37

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

LCM = 135790 = 2 x 5 x 37 x 367

Step 4: Therefore, the least common multiple of 367 and 370 is 135790.