Least Common Multiple of 12170 and 12171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 12170 and 12171 the smallest integer that is 148121070 that is divisible by both numbers.

Least Common Multiple (LCM) of 12170 and 12171 is 148121070.

LCM(12170,12171) = 148121070

LCM of 12170 and 12171

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

LCM of:
and

Least Common Multiple of 12170 and 12171

LCM of 12170 and 12171 is 148121070

Least common multiple can be found by multiplying the highest exponent prime factors of 12170 and 12171. First we will calculate the prime factors of 12170 and 12171.

Prime Factorization of 12170


2 12170
5 6085
1217 1217
1

Prime factors of 12170 are 2, 5,1217. Prime factorization of 12170 in exponential form is:

12170 = 21×51×12171

Prime Factorization of 12171


3 12171
4057 4057
1

Prime factors of 12171 are 3,4057. Prime factorization of 12171 in exponential form is:

12171 = 31×40571

Now multiplying the highest exponent prime factors to calculate the LCM of 12170 and 12171.

LCM(12170,12171) = 21×31×51×12171×40571
LCM(12170,12171) = 148121070

Factors of 12170

List of positive integer factors of 12170 that divides 12170 without a remainder.

1, 2, 5, 10, 1217, 2434, 6085, 12170

Factors of 12171

List of positive integer factors of 12171 that divides 12171 without a remainder.

1, 3, 4057, 12171

Least Common Multiple of 12170 and 12171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12170 and 12171, than apply into the LCM equation.

GCF(12170,12171) = 1
LCM(12170,12171) = ( 12170 × 12171) / 1
LCM(12170,12171) = 148121070 / 1
LCM(12170,12171) = 148121070

Properties of LCM 12170 and 12171

(i) The LCM of 12171 and 12170 is associative

LCM of 12170 and 12171 = LCM of 12171 and 12170

Related Least Common Multiples of 12170

Related Least Common Multiples of 12171

Frequently Asked Questions on LCM of 12170 and 12171

1. What is the LCM of 12170 and 12171?

Answer: LCM of 12170 and 12171 is 148121070.

2. What are the Factors of 12170?

Answer: Factors of 12170 are 1, 2, 5, 10, 1217, 2434, 6085, 12170. There are 8 integers that are factors of 12170. The greatest factor of 12170 is 12170.

3. What are the Factors of 12171?

Answer: Factors of 12171 are 1, 3, 4057, 12171. There are 4 integers that are factors of 12171. The greatest factor of 12171 is 12171.

4. How to Find the LCM of 12170 and 12171?

Answer:

Least Common Multiple of 12170 and 12171 = 148121070

Step 1: Find the prime factorization of 12170

12170 = 2 x 5 x 1217

Step 2: Find the prime factorization of 12171

12171 = 3 x 4057

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

LCM = 148121070 = 2 x 3 x 5 x 1217 x 4057

Step 4: Therefore, the least common multiple of 12170 and 12171 is 148121070.