Least Common Multiple of 15366 and 15372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15366 and 15372 the smallest integer that is 39367692 that is divisible by both numbers.

Least Common Multiple (LCM) of 15366 and 15372 is 39367692.

LCM(15366,15372) = 39367692

LCM of 15366 and 15372

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

LCM of:
and

Least Common Multiple of 15366 and 15372

LCM of 15366 and 15372 is 39367692

Least common multiple can be found by multiplying the highest exponent prime factors of 15366 and 15372. First we will calculate the prime factors of 15366 and 15372.

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

Prime Factorization of 15372


2 15372
2 7686
3 3843
3 1281
7 427
61 61
1

Prime factors of 15372 are 2, 3, 7,61. Prime factorization of 15372 in exponential form is:

15372 = 22×32×71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 15366 and 15372.

LCM(15366,15372) = 22×32×71×131×611×1971
LCM(15366,15372) = 39367692

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

Factors of 15372

List of positive integer factors of 15372 that divides 15372 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 61, 63, 84, 122, 126, 183, 244, 252, 366, 427, 549, 732, 854, 1098, 1281, 1708, 2196, 2562, 3843, 5124, 7686, 15372

Least Common Multiple of 15366 and 15372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15366 and 15372, than apply into the LCM equation.

GCF(15366,15372) = 6
LCM(15366,15372) = ( 15366 × 15372) / 6
LCM(15366,15372) = 236206152 / 6
LCM(15366,15372) = 39367692

Properties of LCM 15366 and 15372

(i) The LCM of 15372 and 15366 is associative

LCM of 15366 and 15372 = LCM of 15372 and 15366

Related Least Common Multiples of 15366

Related Least Common Multiples of 15372

Frequently Asked Questions on LCM of 15366 and 15372

1. What is the LCM of 15366 and 15372?

Answer: LCM of 15366 and 15372 is 39367692.

2. 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.

3. What are the Factors of 15372?

Answer: Factors of 15372 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 61, 63, 84, 122, 126, 183, 244, 252, 366, 427, 549, 732, 854, 1098, 1281, 1708, 2196, 2562, 3843, 5124, 7686, 15372. There are 36 integers that are factors of 15372. The greatest factor of 15372 is 15372.

4. How to Find the LCM of 15366 and 15372?

Answer:

Least Common Multiple of 15366 and 15372 = 39367692

Step 1: Find the prime factorization of 15366

15366 = 2 x 3 x 13 x 197

Step 2: Find the prime factorization of 15372

15372 = 2 x 2 x 3 x 3 x 7 x 61

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

LCM = 39367692 = 2 x 2 x 3 x 3 x 7 x 13 x 61 x 197

Step 4: Therefore, the least common multiple of 15366 and 15372 is 39367692.