Least Common Multiple of 15372 and 15379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15372 and 15379 the smallest integer that is 33772284 that is divisible by both numbers.

Least Common Multiple (LCM) of 15372 and 15379 is 33772284.

LCM(15372,15379) = 33772284

LCM of 15372 and 15379

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

LCM of:
and

Least Common Multiple of 15372 and 15379

LCM of 15372 and 15379 is 33772284

Least common multiple can be found by multiplying the highest exponent prime factors of 15372 and 15379. First we will calculate the prime factors of 15372 and 15379.

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

Prime Factorization of 15379


7 15379
13 2197
13 169
13 13
1

Prime factors of 15379 are 7,13. Prime factorization of 15379 in exponential form is:

15379 = 71×133

Now multiplying the highest exponent prime factors to calculate the LCM of 15372 and 15379.

LCM(15372,15379) = 22×32×71×133×611
LCM(15372,15379) = 33772284

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

Factors of 15379

List of positive integer factors of 15379 that divides 15379 without a remainder.

1, 7, 13, 91, 169, 1183, 2197, 15379

Least Common Multiple of 15372 and 15379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15372 and 15379, than apply into the LCM equation.

GCF(15372,15379) = 7
LCM(15372,15379) = ( 15372 × 15379) / 7
LCM(15372,15379) = 236405988 / 7
LCM(15372,15379) = 33772284

Properties of LCM 15372 and 15379

(i) The LCM of 15379 and 15372 is associative

LCM of 15372 and 15379 = LCM of 15379 and 15372

Related Least Common Multiples of 15372

Related Least Common Multiples of 15379

Frequently Asked Questions on LCM of 15372 and 15379

1. What is the LCM of 15372 and 15379?

Answer: LCM of 15372 and 15379 is 33772284.

2. 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.

3. What are the Factors of 15379?

Answer: Factors of 15379 are 1, 7, 13, 91, 169, 1183, 2197, 15379. There are 8 integers that are factors of 15379. The greatest factor of 15379 is 15379.

4. How to Find the LCM of 15372 and 15379?

Answer:

Least Common Multiple of 15372 and 15379 = 33772284

Step 1: Find the prime factorization of 15372

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

Step 2: Find the prime factorization of 15379

15379 = 7 x 13 x 13 x 13

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

LCM = 33772284 = 2 x 2 x 3 x 3 x 7 x 13 x 13 x 13 x 61

Step 4: Therefore, the least common multiple of 15372 and 15379 is 33772284.