Least Common Multiple of 363 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 363 and 370 the smallest integer that is 134310 that is divisible by both numbers.

Least Common Multiple (LCM) of 363 and 370 is 134310.

LCM(363,370) = 134310

LCM of 363 and 370

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

LCM of:
and

Least Common Multiple of 363 and 370

LCM of 363 and 370 is 134310

Least common multiple can be found by multiplying the highest exponent prime factors of 363 and 370. First we will calculate the prime factors of 363 and 370.

Prime Factorization of 363


3 363
11 121
11 11
1

Prime factors of 363 are 3,11. Prime factorization of 363 in exponential form is:

363 = 31×112

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 363 and 370.

LCM(363,370) = 21×31×51×112×371
LCM(363,370) = 134310

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

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 363 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 363 and 370, than apply into the LCM equation.

GCF(363,370) = 1
LCM(363,370) = ( 363 × 370) / 1
LCM(363,370) = 134310 / 1
LCM(363,370) = 134310

Properties of LCM 363 and 370

(i) The LCM of 370 and 363 is associative

LCM of 363 and 370 = LCM of 370 and 363

Related Least Common Multiples of 363

Related Least Common Multiples of 370

Frequently Asked Questions on LCM of 363 and 370

1. What is the LCM of 363 and 370?

Answer: LCM of 363 and 370 is 134310.

2. What are the Factors of 363?

Answer: Factors of 363 are 1, 3, 11, 33, 121, 363. There are 6 integers that are factors of 363. The greatest factor of 363 is 363.

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 363 and 370?

Answer:

Least Common Multiple of 363 and 370 = 134310

Step 1: Find the prime factorization of 363

363 = 3 x 11 x 11

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 = 134310 = 2 x 3 x 5 x 11 x 11 x 37

Step 4: Therefore, the least common multiple of 363 and 370 is 134310.