Least Common Multiple of 369 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 369 and 370 the smallest integer that is 136530 that is divisible by both numbers.

Least Common Multiple (LCM) of 369 and 370 is 136530.

LCM(369,370) = 136530

LCM of 369 and 370

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

LCM of:
and

Least Common Multiple of 369 and 370

LCM of 369 and 370 is 136530

Least common multiple can be found by multiplying the highest exponent prime factors of 369 and 370. First we will calculate the prime factors of 369 and 370.

Prime Factorization of 369


3 369
3 123
41 41
1

Prime factors of 369 are 3,41. Prime factorization of 369 in exponential form is:

369 = 32×411

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 369 and 370.

LCM(369,370) = 21×32×51×371×411
LCM(369,370) = 136530

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

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 369 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 369 and 370, than apply into the LCM equation.

GCF(369,370) = 1
LCM(369,370) = ( 369 × 370) / 1
LCM(369,370) = 136530 / 1
LCM(369,370) = 136530

Properties of LCM 369 and 370

(i) The LCM of 370 and 369 is associative

LCM of 369 and 370 = LCM of 370 and 369

Related Least Common Multiples of 369

Related Least Common Multiples of 370

Frequently Asked Questions on LCM of 369 and 370

1. What is the LCM of 369 and 370?

Answer: LCM of 369 and 370 is 136530.

2. What are the Factors of 369?

Answer: Factors of 369 are 1, 3, 9, 41, 123, 369. There are 6 integers that are factors of 369. The greatest factor of 369 is 369.

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 369 and 370?

Answer:

Least Common Multiple of 369 and 370 = 136530

Step 1: Find the prime factorization of 369

369 = 3 x 3 x 41

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 = 136530 = 2 x 3 x 3 x 5 x 37 x 41

Step 4: Therefore, the least common multiple of 369 and 370 is 136530.