Least Common Multiple of 362 and 365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 362 and 365 the smallest integer that is 132130 that is divisible by both numbers.

Least Common Multiple (LCM) of 362 and 365 is 132130.

LCM(362,365) = 132130

LCM of 362 and 365

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

LCM of:
and

Least Common Multiple of 362 and 365

LCM of 362 and 365 is 132130

Least common multiple can be found by multiplying the highest exponent prime factors of 362 and 365. First we will calculate the prime factors of 362 and 365.

Prime Factorization of 362


2 362
181 181
1

Prime factors of 362 are 2,181. Prime factorization of 362 in exponential form is:

362 = 21×1811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 362 and 365.

LCM(362,365) = 21×51×731×1811
LCM(362,365) = 132130

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Factors of 365

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

1, 5, 73, 365

Least Common Multiple of 362 and 365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 362 and 365, than apply into the LCM equation.

GCF(362,365) = 1
LCM(362,365) = ( 362 × 365) / 1
LCM(362,365) = 132130 / 1
LCM(362,365) = 132130

Properties of LCM 362 and 365

(i) The LCM of 365 and 362 is associative

LCM of 362 and 365 = LCM of 365 and 362

Related Least Common Multiples of 362

Related Least Common Multiples of 365

Frequently Asked Questions on LCM of 362 and 365

1. What is the LCM of 362 and 365?

Answer: LCM of 362 and 365 is 132130.

2. What are the Factors of 362?

Answer: Factors of 362 are 1, 2, 181, 362. There are 4 integers that are factors of 362. The greatest factor of 362 is 362.

3. 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.

4. How to Find the LCM of 362 and 365?

Answer:

Least Common Multiple of 362 and 365 = 132130

Step 1: Find the prime factorization of 362

362 = 2 x 181

Step 2: Find the prime factorization of 365

365 = 5 x 73

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

LCM = 132130 = 2 x 5 x 73 x 181

Step 4: Therefore, the least common multiple of 362 and 365 is 132130.