Least Common Multiple of 359 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 359 and 365 the smallest integer that is 131035 that is divisible by both numbers.

Least Common Multiple (LCM) of 359 and 365 is 131035.

LCM(359,365) = 131035

LCM of 359 and 365

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

LCM of:
and

Least Common Multiple of 359 and 365

LCM of 359 and 365 is 131035

Least common multiple can be found by multiplying the highest exponent prime factors of 359 and 365. First we will calculate the prime factors of 359 and 365.

Prime Factorization of 359


359 359
1

Prime factors of 359 are 359. Prime factorization of 359 in exponential form is:

359 = 3591

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 359 and 365.

LCM(359,365) = 51×731×3591
LCM(359,365) = 131035

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1, 359

Factors of 365

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

1, 5, 73, 365

Least Common Multiple of 359 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 359 and 365, than apply into the LCM equation.

GCF(359,365) = 1
LCM(359,365) = ( 359 × 365) / 1
LCM(359,365) = 131035 / 1
LCM(359,365) = 131035

Properties of LCM 359 and 365

(i) The LCM of 365 and 359 is associative

LCM of 359 and 365 = LCM of 365 and 359

Related Least Common Multiples of 359

Related Least Common Multiples of 365

Frequently Asked Questions on LCM of 359 and 365

1. What is the LCM of 359 and 365?

Answer: LCM of 359 and 365 is 131035.

2. What are the Factors of 359?

Answer: Factors of 359 are 1, 359. There are 2 integers that are factors of 359. The greatest factor of 359 is 359.

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 359 and 365?

Answer:

Least Common Multiple of 359 and 365 = 131035

Step 1: Find the prime factorization of 359

359 = 359

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 = 131035 = 5 x 73 x 359

Step 4: Therefore, the least common multiple of 359 and 365 is 131035.