Least Common Multiple of 6161 and 6165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6161 and 6165 the smallest integer that is 37982565 that is divisible by both numbers.

Least Common Multiple (LCM) of 6161 and 6165 is 37982565.

LCM(6161,6165) = 37982565

LCM of 6161 and 6165

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

LCM of:
and

Least Common Multiple of 6161 and 6165

LCM of 6161 and 6165 is 37982565

Least common multiple can be found by multiplying the highest exponent prime factors of 6161 and 6165. First we will calculate the prime factors of 6161 and 6165.

Prime Factorization of 6161


61 6161
101 101
1

Prime factors of 6161 are 61,101. Prime factorization of 6161 in exponential form is:

6161 = 611×1011

Prime Factorization of 6165


3 6165
3 2055
5 685
137 137
1

Prime factors of 6165 are 3, 5,137. Prime factorization of 6165 in exponential form is:

6165 = 32×51×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 6161 and 6165.

LCM(6161,6165) = 32×51×611×1011×1371
LCM(6161,6165) = 37982565

Factors of 6161

List of positive integer factors of 6161 that divides 6161 without a remainder.

1, 61, 101, 6161

Factors of 6165

List of positive integer factors of 6165 that divides 6165 without a remainder.

1, 3, 5, 9, 15, 45, 137, 411, 685, 1233, 2055, 6165

Least Common Multiple of 6161 and 6165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6161 and 6165, than apply into the LCM equation.

GCF(6161,6165) = 1
LCM(6161,6165) = ( 6161 × 6165) / 1
LCM(6161,6165) = 37982565 / 1
LCM(6161,6165) = 37982565

Properties of LCM 6161 and 6165

(i) The LCM of 6165 and 6161 is associative

LCM of 6161 and 6165 = LCM of 6165 and 6161

Related Least Common Multiples of 6161

Related Least Common Multiples of 6165

Frequently Asked Questions on LCM of 6161 and 6165

1. What is the LCM of 6161 and 6165?

Answer: LCM of 6161 and 6165 is 37982565.

2. What are the Factors of 6161?

Answer: Factors of 6161 are 1, 61, 101, 6161. There are 4 integers that are factors of 6161. The greatest factor of 6161 is 6161.

3. What are the Factors of 6165?

Answer: Factors of 6165 are 1, 3, 5, 9, 15, 45, 137, 411, 685, 1233, 2055, 6165. There are 12 integers that are factors of 6165. The greatest factor of 6165 is 6165.

4. How to Find the LCM of 6161 and 6165?

Answer:

Least Common Multiple of 6161 and 6165 = 37982565

Step 1: Find the prime factorization of 6161

6161 = 61 x 101

Step 2: Find the prime factorization of 6165

6165 = 3 x 3 x 5 x 137

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

LCM = 37982565 = 3 x 3 x 5 x 61 x 101 x 137

Step 4: Therefore, the least common multiple of 6161 and 6165 is 37982565.