Least Common Multiple of 15177 and 15183

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 15183 the smallest integer that is 76810797 that is divisible by both numbers.

Least Common Multiple (LCM) of 15177 and 15183 is 76810797.

LCM(15177,15183) = 76810797

LCM of 15177 and 15183

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

LCM of:
and

Least Common Multiple of 15177 and 15183

LCM of 15177 and 15183 is 76810797

Least common multiple can be found by multiplying the highest exponent prime factors of 15177 and 15183. First we will calculate the prime factors of 15177 and 15183.

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 15183


3 15183
3 5061
7 1687
241 241
1

Prime factors of 15183 are 3, 7,241. Prime factorization of 15183 in exponential form is:

15183 = 32×71×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 15177 and 15183.

LCM(15177,15183) = 32×71×2411×50591
LCM(15177,15183) = 76810797

Factors of 15177

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

1, 3, 5059, 15177

Factors of 15183

List of positive integer factors of 15183 that divides 15183 without a remainder.

1, 3, 7, 9, 21, 63, 241, 723, 1687, 2169, 5061, 15183

Least Common Multiple of 15177 and 15183 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 15183, than apply into the LCM equation.

GCF(15177,15183) = 3
LCM(15177,15183) = ( 15177 × 15183) / 3
LCM(15177,15183) = 230432391 / 3
LCM(15177,15183) = 76810797

Properties of LCM 15177 and 15183

(i) The LCM of 15183 and 15177 is associative

LCM of 15177 and 15183 = LCM of 15183 and 15177

Related Least Common Multiples of 15177

Related Least Common Multiples of 15183

Frequently Asked Questions on LCM of 15177 and 15183

1. What is the LCM of 15177 and 15183?

Answer: LCM of 15177 and 15183 is 76810797.

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 15183?

Answer: Factors of 15183 are 1, 3, 7, 9, 21, 63, 241, 723, 1687, 2169, 5061, 15183. There are 12 integers that are factors of 15183. The greatest factor of 15183 is 15183.

4. How to Find the LCM of 15177 and 15183?

Answer:

Least Common Multiple of 15177 and 15183 = 76810797

Step 1: Find the prime factorization of 15177

15177 = 3 x 5059

Step 2: Find the prime factorization of 15183

15183 = 3 x 3 x 7 x 241

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

LCM = 76810797 = 3 x 3 x 7 x 241 x 5059

Step 4: Therefore, the least common multiple of 15177 and 15183 is 76810797.