Least Common Multiple of 15358 and 15366

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 15366 the smallest integer that is 117995514 that is divisible by both numbers.

Least Common Multiple (LCM) of 15358 and 15366 is 117995514.

LCM(15358,15366) = 117995514

LCM of 15358 and 15366

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

LCM of:
and

Least Common Multiple of 15358 and 15366

LCM of 15358 and 15366 is 117995514

Least common multiple can be found by multiplying the highest exponent prime factors of 15358 and 15366. First we will calculate the prime factors of 15358 and 15366.

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 15366


2 15366
3 7683
13 2561
197 197
1

Prime factors of 15366 are 2, 3, 13,197. Prime factorization of 15366 in exponential form is:

15366 = 21×31×131×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 15358 and 15366.

LCM(15358,15366) = 21×31×71×131×1971×10971
LCM(15358,15366) = 117995514

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 15366

List of positive integer factors of 15366 that divides 15366 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 197, 394, 591, 1182, 2561, 5122, 7683, 15366

Least Common Multiple of 15358 and 15366 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 15366, than apply into the LCM equation.

GCF(15358,15366) = 2
LCM(15358,15366) = ( 15358 × 15366) / 2
LCM(15358,15366) = 235991028 / 2
LCM(15358,15366) = 117995514

Properties of LCM 15358 and 15366

(i) The LCM of 15366 and 15358 is associative

LCM of 15358 and 15366 = LCM of 15366 and 15358

Related Least Common Multiples of 15358

Related Least Common Multiples of 15366

Frequently Asked Questions on LCM of 15358 and 15366

1. What is the LCM of 15358 and 15366?

Answer: LCM of 15358 and 15366 is 117995514.

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 15366?

Answer: Factors of 15366 are 1, 2, 3, 6, 13, 26, 39, 78, 197, 394, 591, 1182, 2561, 5122, 7683, 15366. There are 16 integers that are factors of 15366. The greatest factor of 15366 is 15366.

4. How to Find the LCM of 15358 and 15366?

Answer:

Least Common Multiple of 15358 and 15366 = 117995514

Step 1: Find the prime factorization of 15358

15358 = 2 x 7 x 1097

Step 2: Find the prime factorization of 15366

15366 = 2 x 3 x 13 x 197

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

LCM = 117995514 = 2 x 3 x 7 x 13 x 197 x 1097

Step 4: Therefore, the least common multiple of 15358 and 15366 is 117995514.