Least Common Multiple of 15377 and 15384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15377 and 15384 the smallest integer that is 236559768 that is divisible by both numbers.

Least Common Multiple (LCM) of 15377 and 15384 is 236559768.

LCM(15377,15384) = 236559768

LCM of 15377 and 15384

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

LCM of:
and

Least Common Multiple of 15377 and 15384

LCM of 15377 and 15384 is 236559768

Least common multiple can be found by multiplying the highest exponent prime factors of 15377 and 15384. First we will calculate the prime factors of 15377 and 15384.

Prime Factorization of 15377


15377 15377
1

Prime factors of 15377 are 15377. Prime factorization of 15377 in exponential form is:

15377 = 153771

Prime Factorization of 15384


2 15384
2 7692
2 3846
3 1923
641 641
1

Prime factors of 15384 are 2, 3,641. Prime factorization of 15384 in exponential form is:

15384 = 23×31×6411

Now multiplying the highest exponent prime factors to calculate the LCM of 15377 and 15384.

LCM(15377,15384) = 23×31×6411×153771
LCM(15377,15384) = 236559768

Factors of 15377

List of positive integer factors of 15377 that divides 15377 without a remainder.

1, 15377

Factors of 15384

List of positive integer factors of 15384 that divides 15384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 641, 1282, 1923, 2564, 3846, 5128, 7692, 15384

Least Common Multiple of 15377 and 15384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15377 and 15384, than apply into the LCM equation.

GCF(15377,15384) = 1
LCM(15377,15384) = ( 15377 × 15384) / 1
LCM(15377,15384) = 236559768 / 1
LCM(15377,15384) = 236559768

Properties of LCM 15377 and 15384

(i) The LCM of 15384 and 15377 is associative

LCM of 15377 and 15384 = LCM of 15384 and 15377

Related Least Common Multiples of 15377

Related Least Common Multiples of 15384

Frequently Asked Questions on LCM of 15377 and 15384

1. What is the LCM of 15377 and 15384?

Answer: LCM of 15377 and 15384 is 236559768.

2. What are the Factors of 15377?

Answer: Factors of 15377 are 1, 15377. There are 2 integers that are factors of 15377. The greatest factor of 15377 is 15377.

3. What are the Factors of 15384?

Answer: Factors of 15384 are 1, 2, 3, 4, 6, 8, 12, 24, 641, 1282, 1923, 2564, 3846, 5128, 7692, 15384. There are 16 integers that are factors of 15384. The greatest factor of 15384 is 15384.

4. How to Find the LCM of 15377 and 15384?

Answer:

Least Common Multiple of 15377 and 15384 = 236559768

Step 1: Find the prime factorization of 15377

15377 = 15377

Step 2: Find the prime factorization of 15384

15384 = 2 x 2 x 2 x 3 x 641

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

LCM = 236559768 = 2 x 2 x 2 x 3 x 641 x 15377

Step 4: Therefore, the least common multiple of 15377 and 15384 is 236559768.