Least Common Multiple of 365 and 367

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 367 the smallest integer that is 133955 that is divisible by both numbers.

Least Common Multiple (LCM) of 365 and 367 is 133955.

LCM(365,367) = 133955

LCM of 365 and 367

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

LCM of:
and

Least Common Multiple of 365 and 367

LCM of 365 and 367 is 133955

Least common multiple can be found by multiplying the highest exponent prime factors of 365 and 367. First we will calculate the prime factors of 365 and 367.

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 367


367 367
1

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

367 = 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 365 and 367.

LCM(365,367) = 51×731×3671
LCM(365,367) = 133955

Factors of 365

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

1, 5, 73, 365

Factors of 367

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

1, 367

Least Common Multiple of 365 and 367 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 367, than apply into the LCM equation.

GCF(365,367) = 1
LCM(365,367) = ( 365 × 367) / 1
LCM(365,367) = 133955 / 1
LCM(365,367) = 133955

Properties of LCM 365 and 367

(i) The LCM of 367 and 365 is associative

LCM of 365 and 367 = LCM of 367 and 365

Related Least Common Multiples of 365

Related Least Common Multiples of 367

Frequently Asked Questions on LCM of 365 and 367

1. What is the LCM of 365 and 367?

Answer: LCM of 365 and 367 is 133955.

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 367?

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

4. How to Find the LCM of 365 and 367?

Answer:

Least Common Multiple of 365 and 367 = 133955

Step 1: Find the prime factorization of 365

365 = 5 x 73

Step 2: Find the prime factorization of 367

367 = 367

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

LCM = 133955 = 5 x 73 x 367

Step 4: Therefore, the least common multiple of 365 and 367 is 133955.