Least Common Multiple of 15277 and 15284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15277 and 15284 the smallest integer that is 233493668 that is divisible by both numbers.

Least Common Multiple (LCM) of 15277 and 15284 is 233493668.

LCM(15277,15284) = 233493668

LCM of 15277 and 15284

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

LCM of:
and

Least Common Multiple of 15277 and 15284

LCM of 15277 and 15284 is 233493668

Least common multiple can be found by multiplying the highest exponent prime factors of 15277 and 15284. First we will calculate the prime factors of 15277 and 15284.

Prime Factorization of 15277


15277 15277
1

Prime factors of 15277 are 15277. Prime factorization of 15277 in exponential form is:

15277 = 152771

Prime Factorization of 15284


2 15284
2 7642
3821 3821
1

Prime factors of 15284 are 2,3821. Prime factorization of 15284 in exponential form is:

15284 = 22×38211

Now multiplying the highest exponent prime factors to calculate the LCM of 15277 and 15284.

LCM(15277,15284) = 22×38211×152771
LCM(15277,15284) = 233493668

Factors of 15277

List of positive integer factors of 15277 that divides 15277 without a remainder.

1, 15277

Factors of 15284

List of positive integer factors of 15284 that divides 15284 without a remainder.

1, 2, 4, 3821, 7642, 15284

Least Common Multiple of 15277 and 15284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15277 and 15284, than apply into the LCM equation.

GCF(15277,15284) = 1
LCM(15277,15284) = ( 15277 × 15284) / 1
LCM(15277,15284) = 233493668 / 1
LCM(15277,15284) = 233493668

Properties of LCM 15277 and 15284

(i) The LCM of 15284 and 15277 is associative

LCM of 15277 and 15284 = LCM of 15284 and 15277

Related Least Common Multiples of 15277

Related Least Common Multiples of 15284

Frequently Asked Questions on LCM of 15277 and 15284

1. What is the LCM of 15277 and 15284?

Answer: LCM of 15277 and 15284 is 233493668.

2. What are the Factors of 15277?

Answer: Factors of 15277 are 1, 15277. There are 2 integers that are factors of 15277. The greatest factor of 15277 is 15277.

3. What are the Factors of 15284?

Answer: Factors of 15284 are 1, 2, 4, 3821, 7642, 15284. There are 6 integers that are factors of 15284. The greatest factor of 15284 is 15284.

4. How to Find the LCM of 15277 and 15284?

Answer:

Least Common Multiple of 15277 and 15284 = 233493668

Step 1: Find the prime factorization of 15277

15277 = 15277

Step 2: Find the prime factorization of 15284

15284 = 2 x 2 x 3821

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

LCM = 233493668 = 2 x 2 x 3821 x 15277

Step 4: Therefore, the least common multiple of 15277 and 15284 is 233493668.