Least Common Multiple of 15372 and 15378

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 15378 the smallest integer that is 39398436 that is divisible by both numbers.

Least Common Multiple (LCM) of 15372 and 15378 is 39398436.

LCM(15372,15378) = 39398436

LCM of 15372 and 15378

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

LCM of:
and

Least Common Multiple of 15372 and 15378

LCM of 15372 and 15378 is 39398436

Least common multiple can be found by multiplying the highest exponent prime factors of 15372 and 15378. First we will calculate the prime factors of 15372 and 15378.

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 15378


2 15378
3 7689
11 2563
233 233
1

Prime factors of 15378 are 2, 3, 11,233. Prime factorization of 15378 in exponential form is:

15378 = 21×31×111×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 15372 and 15378.

LCM(15372,15378) = 22×32×71×111×611×2331
LCM(15372,15378) = 39398436

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 15378

List of positive integer factors of 15378 that divides 15378 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 233, 466, 699, 1398, 2563, 5126, 7689, 15378

Least Common Multiple of 15372 and 15378 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 15378, than apply into the LCM equation.

GCF(15372,15378) = 6
LCM(15372,15378) = ( 15372 × 15378) / 6
LCM(15372,15378) = 236390616 / 6
LCM(15372,15378) = 39398436

Properties of LCM 15372 and 15378

(i) The LCM of 15378 and 15372 is associative

LCM of 15372 and 15378 = LCM of 15378 and 15372

Related Least Common Multiples of 15372

Related Least Common Multiples of 15378

Frequently Asked Questions on LCM of 15372 and 15378

1. What is the LCM of 15372 and 15378?

Answer: LCM of 15372 and 15378 is 39398436.

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 15378?

Answer: Factors of 15378 are 1, 2, 3, 6, 11, 22, 33, 66, 233, 466, 699, 1398, 2563, 5126, 7689, 15378. There are 16 integers that are factors of 15378. The greatest factor of 15378 is 15378.

4. How to Find the LCM of 15372 and 15378?

Answer:

Least Common Multiple of 15372 and 15378 = 39398436

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 15378

15378 = 2 x 3 x 11 x 233

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

LCM = 39398436 = 2 x 2 x 3 x 3 x 7 x 11 x 61 x 233

Step 4: Therefore, the least common multiple of 15372 and 15378 is 39398436.