Least Common Multiple of 15358 and 15365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15358 and 15365 the smallest integer that is 33710810 that is divisible by both numbers.

Least Common Multiple (LCM) of 15358 and 15365 is 33710810.

LCM(15358,15365) = 33710810

LCM of 15358 and 15365

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

LCM of:
and

Least Common Multiple of 15358 and 15365

LCM of 15358 and 15365 is 33710810

Least common multiple can be found by multiplying the highest exponent prime factors of 15358 and 15365. First we will calculate the prime factors of 15358 and 15365.

Prime Factorization of 15358


2 15358
7 7679
1097 1097
1

Prime factors of 15358 are 2, 7,1097. Prime factorization of 15358 in exponential form is:

15358 = 21×71×10971

Prime Factorization of 15365


5 15365
7 3073
439 439
1

Prime factors of 15365 are 5, 7,439. Prime factorization of 15365 in exponential form is:

15365 = 51×71×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 15358 and 15365.

LCM(15358,15365) = 21×51×71×4391×10971
LCM(15358,15365) = 33710810

Factors of 15358

List of positive integer factors of 15358 that divides 15358 without a remainder.

1, 2, 7, 14, 1097, 2194, 7679, 15358

Factors of 15365

List of positive integer factors of 15365 that divides 15365 without a remainder.

1, 5, 7, 35, 439, 2195, 3073, 15365

Least Common Multiple of 15358 and 15365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15358 and 15365, than apply into the LCM equation.

GCF(15358,15365) = 7
LCM(15358,15365) = ( 15358 × 15365) / 7
LCM(15358,15365) = 235975670 / 7
LCM(15358,15365) = 33710810

Properties of LCM 15358 and 15365

(i) The LCM of 15365 and 15358 is associative

LCM of 15358 and 15365 = LCM of 15365 and 15358

Related Least Common Multiples of 15358

Related Least Common Multiples of 15365

Frequently Asked Questions on LCM of 15358 and 15365

1. What is the LCM of 15358 and 15365?

Answer: LCM of 15358 and 15365 is 33710810.

2. What are the Factors of 15358?

Answer: Factors of 15358 are 1, 2, 7, 14, 1097, 2194, 7679, 15358. There are 8 integers that are factors of 15358. The greatest factor of 15358 is 15358.

3. What are the Factors of 15365?

Answer: Factors of 15365 are 1, 5, 7, 35, 439, 2195, 3073, 15365. There are 8 integers that are factors of 15365. The greatest factor of 15365 is 15365.

4. How to Find the LCM of 15358 and 15365?

Answer:

Least Common Multiple of 15358 and 15365 = 33710810

Step 1: Find the prime factorization of 15358

15358 = 2 x 7 x 1097

Step 2: Find the prime factorization of 15365

15365 = 5 x 7 x 439

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

LCM = 33710810 = 2 x 5 x 7 x 439 x 1097

Step 4: Therefore, the least common multiple of 15358 and 15365 is 33710810.