Least Common Multiple of 365 and 366

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 366 the smallest integer that is 133590 that is divisible by both numbers.

Least Common Multiple (LCM) of 365 and 366 is 133590.

LCM(365,366) = 133590

LCM of 365 and 366

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

LCM of:
and

Least Common Multiple of 365 and 366

LCM of 365 and 366 is 133590

Least common multiple can be found by multiplying the highest exponent prime factors of 365 and 366. First we will calculate the prime factors of 365 and 366.

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 366


2 366
3 183
61 61
1

Prime factors of 366 are 2, 3,61. Prime factorization of 366 in exponential form is:

366 = 21×31×611

Now multiplying the highest exponent prime factors to calculate the LCM of 365 and 366.

LCM(365,366) = 21×31×51×611×731
LCM(365,366) = 133590

Factors of 365

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

1, 5, 73, 365

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Least Common Multiple of 365 and 366 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 366, than apply into the LCM equation.

GCF(365,366) = 1
LCM(365,366) = ( 365 × 366) / 1
LCM(365,366) = 133590 / 1
LCM(365,366) = 133590

Properties of LCM 365 and 366

(i) The LCM of 366 and 365 is associative

LCM of 365 and 366 = LCM of 366 and 365

Related Least Common Multiples of 365

Related Least Common Multiples of 366

Frequently Asked Questions on LCM of 365 and 366

1. What is the LCM of 365 and 366?

Answer: LCM of 365 and 366 is 133590.

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 366?

Answer: Factors of 366 are 1, 2, 3, 6, 61, 122, 183, 366. There are 8 integers that are factors of 366. The greatest factor of 366 is 366.

4. How to Find the LCM of 365 and 366?

Answer:

Least Common Multiple of 365 and 366 = 133590

Step 1: Find the prime factorization of 365

365 = 5 x 73

Step 2: Find the prime factorization of 366

366 = 2 x 3 x 61

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

LCM = 133590 = 2 x 3 x 5 x 61 x 73

Step 4: Therefore, the least common multiple of 365 and 366 is 133590.