Least Common Multiple of 15364 and 15367

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 15367 the smallest integer that is 236098588 that is divisible by both numbers.

Least Common Multiple (LCM) of 15364 and 15367 is 236098588.

LCM(15364,15367) = 236098588

LCM of 15364 and 15367

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

LCM of:
and

Least Common Multiple of 15364 and 15367

LCM of 15364 and 15367 is 236098588

Least common multiple can be found by multiplying the highest exponent prime factors of 15364 and 15367. First we will calculate the prime factors of 15364 and 15367.

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 15367


11 15367
11 1397
127 127
1

Prime factors of 15367 are 11,127. Prime factorization of 15367 in exponential form is:

15367 = 112×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 15364 and 15367.

LCM(15364,15367) = 22×112×231×1271×1671
LCM(15364,15367) = 236098588

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 15367

List of positive integer factors of 15367 that divides 15367 without a remainder.

1, 11, 121, 127, 1397, 15367

Least Common Multiple of 15364 and 15367 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 15367, than apply into the LCM equation.

GCF(15364,15367) = 1
LCM(15364,15367) = ( 15364 × 15367) / 1
LCM(15364,15367) = 236098588 / 1
LCM(15364,15367) = 236098588

Properties of LCM 15364 and 15367

(i) The LCM of 15367 and 15364 is associative

LCM of 15364 and 15367 = LCM of 15367 and 15364

Related Least Common Multiples of 15364

Related Least Common Multiples of 15367

Frequently Asked Questions on LCM of 15364 and 15367

1. What is the LCM of 15364 and 15367?

Answer: LCM of 15364 and 15367 is 236098588.

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 15367?

Answer: Factors of 15367 are 1, 11, 121, 127, 1397, 15367. There are 6 integers that are factors of 15367. The greatest factor of 15367 is 15367.

4. How to Find the LCM of 15364 and 15367?

Answer:

Least Common Multiple of 15364 and 15367 = 236098588

Step 1: Find the prime factorization of 15364

15364 = 2 x 2 x 23 x 167

Step 2: Find the prime factorization of 15367

15367 = 11 x 11 x 127

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

LCM = 236098588 = 2 x 2 x 11 x 11 x 23 x 127 x 167

Step 4: Therefore, the least common multiple of 15364 and 15367 is 236098588.