Least Common Multiple of 15176 and 15177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15176 and 15177 the smallest integer that is 230326152 that is divisible by both numbers.

Least Common Multiple (LCM) of 15176 and 15177 is 230326152.

LCM(15176,15177) = 230326152

LCM of 15176 and 15177

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

LCM of:
and

Least Common Multiple of 15176 and 15177

LCM of 15176 and 15177 is 230326152

Least common multiple can be found by multiplying the highest exponent prime factors of 15176 and 15177. First we will calculate the prime factors of 15176 and 15177.

Prime Factorization of 15176


2 15176
2 7588
2 3794
7 1897
271 271
1

Prime factors of 15176 are 2, 7,271. Prime factorization of 15176 in exponential form is:

15176 = 23×71×2711

Prime Factorization of 15177


3 15177
5059 5059
1

Prime factors of 15177 are 3,5059. Prime factorization of 15177 in exponential form is:

15177 = 31×50591

Now multiplying the highest exponent prime factors to calculate the LCM of 15176 and 15177.

LCM(15176,15177) = 23×31×71×2711×50591
LCM(15176,15177) = 230326152

Factors of 15176

List of positive integer factors of 15176 that divides 15176 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 271, 542, 1084, 1897, 2168, 3794, 7588, 15176

Factors of 15177

List of positive integer factors of 15177 that divides 15177 without a remainder.

1, 3, 5059, 15177

Least Common Multiple of 15176 and 15177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15176 and 15177, than apply into the LCM equation.

GCF(15176,15177) = 1
LCM(15176,15177) = ( 15176 × 15177) / 1
LCM(15176,15177) = 230326152 / 1
LCM(15176,15177) = 230326152

Properties of LCM 15176 and 15177

(i) The LCM of 15177 and 15176 is associative

LCM of 15176 and 15177 = LCM of 15177 and 15176

Related Least Common Multiples of 15176

Related Least Common Multiples of 15177

Frequently Asked Questions on LCM of 15176 and 15177

1. What is the LCM of 15176 and 15177?

Answer: LCM of 15176 and 15177 is 230326152.

2. What are the Factors of 15176?

Answer: Factors of 15176 are 1, 2, 4, 7, 8, 14, 28, 56, 271, 542, 1084, 1897, 2168, 3794, 7588, 15176. There are 16 integers that are factors of 15176. The greatest factor of 15176 is 15176.

3. What are the Factors of 15177?

Answer: Factors of 15177 are 1, 3, 5059, 15177. There are 4 integers that are factors of 15177. The greatest factor of 15177 is 15177.

4. How to Find the LCM of 15176 and 15177?

Answer:

Least Common Multiple of 15176 and 15177 = 230326152

Step 1: Find the prime factorization of 15176

15176 = 2 x 2 x 2 x 7 x 271

Step 2: Find the prime factorization of 15177

15177 = 3 x 5059

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

LCM = 230326152 = 2 x 2 x 2 x 3 x 7 x 271 x 5059

Step 4: Therefore, the least common multiple of 15176 and 15177 is 230326152.