Least Common Multiple of 365 and 369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 365 and 369 the smallest integer that is 134685 that is divisible by both numbers.

Least Common Multiple (LCM) of 365 and 369 is 134685.

LCM(365,369) = 134685

LCM of 365 and 369

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

LCM of:
and

Least Common Multiple of 365 and 369

LCM of 365 and 369 is 134685

Least common multiple can be found by multiplying the highest exponent prime factors of 365 and 369. First we will calculate the prime factors of 365 and 369.

Prime Factorization of 365


5 365
73 73
1

Prime factors of 365 are 5,73. Prime factorization of 365 in exponential form is:

365 = 51×731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 365 and 369.

LCM(365,369) = 32×51×411×731
LCM(365,369) = 134685

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Factors of 369

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

1, 3, 9, 41, 123, 369

Least Common Multiple of 365 and 369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 365 and 369, than apply into the LCM equation.

GCF(365,369) = 1
LCM(365,369) = ( 365 × 369) / 1
LCM(365,369) = 134685 / 1
LCM(365,369) = 134685

Properties of LCM 365 and 369

(i) The LCM of 369 and 365 is associative

LCM of 365 and 369 = LCM of 369 and 365

Related Least Common Multiples of 365

Related Least Common Multiples of 369

Frequently Asked Questions on LCM of 365 and 369

1. What is the LCM of 365 and 369?

Answer: LCM of 365 and 369 is 134685.

2. What are the Factors of 365?

Answer: Factors of 365 are 1, 5, 73, 365. There are 4 integers that are factors of 365. The greatest factor of 365 is 365.

3. 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.

4. How to Find the LCM of 365 and 369?

Answer:

Least Common Multiple of 365 and 369 = 134685

Step 1: Find the prime factorization of 365

365 = 5 x 73

Step 2: Find the prime factorization of 369

369 = 3 x 3 x 41

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

LCM = 134685 = 3 x 3 x 5 x 41 x 73

Step 4: Therefore, the least common multiple of 365 and 369 is 134685.