Least Common Multiple of 6165 and 6170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6165 and 6170 the smallest integer that is 7607610 that is divisible by both numbers.

Least Common Multiple (LCM) of 6165 and 6170 is 7607610.

LCM(6165,6170) = 7607610

LCM of 6165 and 6170

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

LCM of:
and

Least Common Multiple of 6165 and 6170

LCM of 6165 and 6170 is 7607610

Least common multiple can be found by multiplying the highest exponent prime factors of 6165 and 6170. First we will calculate the prime factors of 6165 and 6170.

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

Prime Factorization of 6170


2 6170
5 3085
617 617
1

Prime factors of 6170 are 2, 5,617. Prime factorization of 6170 in exponential form is:

6170 = 21×51×6171

Now multiplying the highest exponent prime factors to calculate the LCM of 6165 and 6170.

LCM(6165,6170) = 21×32×51×1371×6171
LCM(6165,6170) = 7607610

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

Factors of 6170

List of positive integer factors of 6170 that divides 6170 without a remainder.

1, 2, 5, 10, 617, 1234, 3085, 6170

Least Common Multiple of 6165 and 6170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6165 and 6170, than apply into the LCM equation.

GCF(6165,6170) = 5
LCM(6165,6170) = ( 6165 × 6170) / 5
LCM(6165,6170) = 38038050 / 5
LCM(6165,6170) = 7607610

Properties of LCM 6165 and 6170

(i) The LCM of 6170 and 6165 is associative

LCM of 6165 and 6170 = LCM of 6170 and 6165

Related Least Common Multiples of 6165

Related Least Common Multiples of 6170

Frequently Asked Questions on LCM of 6165 and 6170

1. What is the LCM of 6165 and 6170?

Answer: LCM of 6165 and 6170 is 7607610.

2. 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.

3. What are the Factors of 6170?

Answer: Factors of 6170 are 1, 2, 5, 10, 617, 1234, 3085, 6170. There are 8 integers that are factors of 6170. The greatest factor of 6170 is 6170.

4. How to Find the LCM of 6165 and 6170?

Answer:

Least Common Multiple of 6165 and 6170 = 7607610

Step 1: Find the prime factorization of 6165

6165 = 3 x 3 x 5 x 137

Step 2: Find the prime factorization of 6170

6170 = 2 x 5 x 617

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

LCM = 7607610 = 2 x 3 x 3 x 5 x 137 x 617

Step 4: Therefore, the least common multiple of 6165 and 6170 is 7607610.