Least Common Multiple of 358 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 358 and 365 the smallest integer that is 130670 that is divisible by both numbers.

Least Common Multiple (LCM) of 358 and 365 is 130670.

LCM(358,365) = 130670

LCM of 358 and 365

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

LCM of:
and

Least Common Multiple of 358 and 365

LCM of 358 and 365 is 130670

Least common multiple can be found by multiplying the highest exponent prime factors of 358 and 365. First we will calculate the prime factors of 358 and 365.

Prime Factorization of 358


2 358
179 179
1

Prime factors of 358 are 2,179. Prime factorization of 358 in exponential form is:

358 = 21×1791

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 358 and 365.

LCM(358,365) = 21×51×731×1791
LCM(358,365) = 130670

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Factors of 365

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

1, 5, 73, 365

Least Common Multiple of 358 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 358 and 365, than apply into the LCM equation.

GCF(358,365) = 1
LCM(358,365) = ( 358 × 365) / 1
LCM(358,365) = 130670 / 1
LCM(358,365) = 130670

Properties of LCM 358 and 365

(i) The LCM of 365 and 358 is associative

LCM of 358 and 365 = LCM of 365 and 358

Related Least Common Multiples of 358

Related Least Common Multiples of 365

Frequently Asked Questions on LCM of 358 and 365

1. What is the LCM of 358 and 365?

Answer: LCM of 358 and 365 is 130670.

2. What are the Factors of 358?

Answer: Factors of 358 are 1, 2, 179, 358. There are 4 integers that are factors of 358. The greatest factor of 358 is 358.

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 358 and 365?

Answer:

Least Common Multiple of 358 and 365 = 130670

Step 1: Find the prime factorization of 358

358 = 2 x 179

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 = 130670 = 2 x 5 x 73 x 179

Step 4: Therefore, the least common multiple of 358 and 365 is 130670.