Least Common Multiple of 15177 and 15182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15177 and 15182 the smallest integer that is 230417214 that is divisible by both numbers.

Least Common Multiple (LCM) of 15177 and 15182 is 230417214.

LCM(15177,15182) = 230417214

LCM of 15177 and 15182

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

LCM of:
and

Least Common Multiple of 15177 and 15182

LCM of 15177 and 15182 is 230417214

Least common multiple can be found by multiplying the highest exponent prime factors of 15177 and 15182. First we will calculate the prime factors of 15177 and 15182.

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

Prime Factorization of 15182


2 15182
7591 7591
1

Prime factors of 15182 are 2,7591. Prime factorization of 15182 in exponential form is:

15182 = 21×75911

Now multiplying the highest exponent prime factors to calculate the LCM of 15177 and 15182.

LCM(15177,15182) = 21×31×50591×75911
LCM(15177,15182) = 230417214

Factors of 15177

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

1, 3, 5059, 15177

Factors of 15182

List of positive integer factors of 15182 that divides 15182 without a remainder.

1, 2, 7591, 15182

Least Common Multiple of 15177 and 15182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15177 and 15182, than apply into the LCM equation.

GCF(15177,15182) = 1
LCM(15177,15182) = ( 15177 × 15182) / 1
LCM(15177,15182) = 230417214 / 1
LCM(15177,15182) = 230417214

Properties of LCM 15177 and 15182

(i) The LCM of 15182 and 15177 is associative

LCM of 15177 and 15182 = LCM of 15182 and 15177

Related Least Common Multiples of 15177

Related Least Common Multiples of 15182

Frequently Asked Questions on LCM of 15177 and 15182

1. What is the LCM of 15177 and 15182?

Answer: LCM of 15177 and 15182 is 230417214.

2. 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.

3. What are the Factors of 15182?

Answer: Factors of 15182 are 1, 2, 7591, 15182. There are 4 integers that are factors of 15182. The greatest factor of 15182 is 15182.

4. How to Find the LCM of 15177 and 15182?

Answer:

Least Common Multiple of 15177 and 15182 = 230417214

Step 1: Find the prime factorization of 15177

15177 = 3 x 5059

Step 2: Find the prime factorization of 15182

15182 = 2 x 7591

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

LCM = 230417214 = 2 x 3 x 5059 x 7591

Step 4: Therefore, the least common multiple of 15177 and 15182 is 230417214.