Least Common Multiple of 365 and 368

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 368 the smallest integer that is 134320 that is divisible by both numbers.

Least Common Multiple (LCM) of 365 and 368 is 134320.

LCM(365,368) = 134320

LCM of 365 and 368

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

LCM of:
and

Least Common Multiple of 365 and 368

LCM of 365 and 368 is 134320

Least common multiple can be found by multiplying the highest exponent prime factors of 365 and 368. First we will calculate the prime factors of 365 and 368.

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 368


2 368
2 184
2 92
2 46
23 23
1

Prime factors of 368 are 2,23. Prime factorization of 368 in exponential form is:

368 = 24×231

Now multiplying the highest exponent prime factors to calculate the LCM of 365 and 368.

LCM(365,368) = 24×51×231×731
LCM(365,368) = 134320

Factors of 365

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

1, 5, 73, 365

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Least Common Multiple of 365 and 368 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 368, than apply into the LCM equation.

GCF(365,368) = 1
LCM(365,368) = ( 365 × 368) / 1
LCM(365,368) = 134320 / 1
LCM(365,368) = 134320

Properties of LCM 365 and 368

(i) The LCM of 368 and 365 is associative

LCM of 365 and 368 = LCM of 368 and 365

Related Least Common Multiples of 365

Related Least Common Multiples of 368

Frequently Asked Questions on LCM of 365 and 368

1. What is the LCM of 365 and 368?

Answer: LCM of 365 and 368 is 134320.

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 368?

Answer: Factors of 368 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368. There are 10 integers that are factors of 368. The greatest factor of 368 is 368.

4. How to Find the LCM of 365 and 368?

Answer:

Least Common Multiple of 365 and 368 = 134320

Step 1: Find the prime factorization of 365

365 = 5 x 73

Step 2: Find the prime factorization of 368

368 = 2 x 2 x 2 x 2 x 23

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

LCM = 134320 = 2 x 2 x 2 x 2 x 5 x 23 x 73

Step 4: Therefore, the least common multiple of 365 and 368 is 134320.