Least Common Multiple of 15364 and 15369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15364 and 15369 the smallest integer that is 236129316 that is divisible by both numbers.

Least Common Multiple (LCM) of 15364 and 15369 is 236129316.

LCM(15364,15369) = 236129316

LCM of 15364 and 15369

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

LCM of:
and

Least Common Multiple of 15364 and 15369

LCM of 15364 and 15369 is 236129316

Least common multiple can be found by multiplying the highest exponent prime factors of 15364 and 15369. First we will calculate the prime factors of 15364 and 15369.

Prime Factorization of 15364


2 15364
2 7682
23 3841
167 167
1

Prime factors of 15364 are 2, 23,167. Prime factorization of 15364 in exponential form is:

15364 = 22×231×1671

Prime Factorization of 15369


3 15369
47 5123
109 109
1

Prime factors of 15369 are 3, 47,109. Prime factorization of 15369 in exponential form is:

15369 = 31×471×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 15364 and 15369.

LCM(15364,15369) = 22×31×231×471×1091×1671
LCM(15364,15369) = 236129316

Factors of 15364

List of positive integer factors of 15364 that divides 15364 without a remainder.

1, 2, 4, 23, 46, 92, 167, 334, 668, 3841, 7682, 15364

Factors of 15369

List of positive integer factors of 15369 that divides 15369 without a remainder.

1, 3, 47, 109, 141, 327, 5123, 15369

Least Common Multiple of 15364 and 15369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15364 and 15369, than apply into the LCM equation.

GCF(15364,15369) = 1
LCM(15364,15369) = ( 15364 × 15369) / 1
LCM(15364,15369) = 236129316 / 1
LCM(15364,15369) = 236129316

Properties of LCM 15364 and 15369

(i) The LCM of 15369 and 15364 is associative

LCM of 15364 and 15369 = LCM of 15369 and 15364

Related Least Common Multiples of 15364

Related Least Common Multiples of 15369

Frequently Asked Questions on LCM of 15364 and 15369

1. What is the LCM of 15364 and 15369?

Answer: LCM of 15364 and 15369 is 236129316.

2. What are the Factors of 15364?

Answer: Factors of 15364 are 1, 2, 4, 23, 46, 92, 167, 334, 668, 3841, 7682, 15364. There are 12 integers that are factors of 15364. The greatest factor of 15364 is 15364.

3. What are the Factors of 15369?

Answer: Factors of 15369 are 1, 3, 47, 109, 141, 327, 5123, 15369. There are 8 integers that are factors of 15369. The greatest factor of 15369 is 15369.

4. How to Find the LCM of 15364 and 15369?

Answer:

Least Common Multiple of 15364 and 15369 = 236129316

Step 1: Find the prime factorization of 15364

15364 = 2 x 2 x 23 x 167

Step 2: Find the prime factorization of 15369

15369 = 3 x 47 x 109

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

LCM = 236129316 = 2 x 2 x 3 x 23 x 47 x 109 x 167

Step 4: Therefore, the least common multiple of 15364 and 15369 is 236129316.