Least Common Multiple of 15161 and 15167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15161 and 15167 the smallest integer that is 229946887 that is divisible by both numbers.

Least Common Multiple (LCM) of 15161 and 15167 is 229946887.

LCM(15161,15167) = 229946887

LCM of 15161 and 15167

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

LCM of:
and

Least Common Multiple of 15161 and 15167

LCM of 15161 and 15167 is 229946887

Least common multiple can be found by multiplying the highest exponent prime factors of 15161 and 15167. First we will calculate the prime factors of 15161 and 15167.

Prime Factorization of 15161


15161 15161
1

Prime factors of 15161 are 15161. Prime factorization of 15161 in exponential form is:

15161 = 151611

Prime Factorization of 15167


29 15167
523 523
1

Prime factors of 15167 are 29,523. Prime factorization of 15167 in exponential form is:

15167 = 291×5231

Now multiplying the highest exponent prime factors to calculate the LCM of 15161 and 15167.

LCM(15161,15167) = 291×5231×151611
LCM(15161,15167) = 229946887

Factors of 15161

List of positive integer factors of 15161 that divides 15161 without a remainder.

1, 15161

Factors of 15167

List of positive integer factors of 15167 that divides 15167 without a remainder.

1, 29, 523, 15167

Least Common Multiple of 15161 and 15167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15161 and 15167, than apply into the LCM equation.

GCF(15161,15167) = 1
LCM(15161,15167) = ( 15161 × 15167) / 1
LCM(15161,15167) = 229946887 / 1
LCM(15161,15167) = 229946887

Properties of LCM 15161 and 15167

(i) The LCM of 15167 and 15161 is associative

LCM of 15161 and 15167 = LCM of 15167 and 15161

Related Least Common Multiples of 15161

Related Least Common Multiples of 15167

Frequently Asked Questions on LCM of 15161 and 15167

1. What is the LCM of 15161 and 15167?

Answer: LCM of 15161 and 15167 is 229946887.

2. What are the Factors of 15161?

Answer: Factors of 15161 are 1, 15161. There are 2 integers that are factors of 15161. The greatest factor of 15161 is 15161.

3. What are the Factors of 15167?

Answer: Factors of 15167 are 1, 29, 523, 15167. There are 4 integers that are factors of 15167. The greatest factor of 15167 is 15167.

4. How to Find the LCM of 15161 and 15167?

Answer:

Least Common Multiple of 15161 and 15167 = 229946887

Step 1: Find the prime factorization of 15161

15161 = 15161

Step 2: Find the prime factorization of 15167

15167 = 29 x 523

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

LCM = 229946887 = 29 x 523 x 15161

Step 4: Therefore, the least common multiple of 15161 and 15167 is 229946887.