Least Common Multiple of 2170 and 2178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2170 and 2178 the smallest integer that is 2363130 that is divisible by both numbers.

Least Common Multiple (LCM) of 2170 and 2178 is 2363130.

LCM(2170,2178) = 2363130

LCM of 2170 and 2178

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

LCM of:
and

Least Common Multiple of 2170 and 2178

LCM of 2170 and 2178 is 2363130

Least common multiple can be found by multiplying the highest exponent prime factors of 2170 and 2178. First we will calculate the prime factors of 2170 and 2178.

Prime Factorization of 2170


2 2170
5 1085
7 217
31 31
1

Prime factors of 2170 are 2, 5, 7,31. Prime factorization of 2170 in exponential form is:

2170 = 21×51×71×311

Prime Factorization of 2178


2 2178
3 1089
3 363
11 121
11 11
1

Prime factors of 2178 are 2, 3,11. Prime factorization of 2178 in exponential form is:

2178 = 21×32×112

Now multiplying the highest exponent prime factors to calculate the LCM of 2170 and 2178.

LCM(2170,2178) = 21×32×51×71×112×311
LCM(2170,2178) = 2363130

Factors of 2170

List of positive integer factors of 2170 that divides 2170 without a remainder.

1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170

Factors of 2178

List of positive integer factors of 2178 that divides 2178 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 121, 198, 242, 363, 726, 1089, 2178

Least Common Multiple of 2170 and 2178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2170 and 2178, than apply into the LCM equation.

GCF(2170,2178) = 2
LCM(2170,2178) = ( 2170 × 2178) / 2
LCM(2170,2178) = 4726260 / 2
LCM(2170,2178) = 2363130

Properties of LCM 2170 and 2178

(i) The LCM of 2178 and 2170 is associative

LCM of 2170 and 2178 = LCM of 2178 and 2170

Related Least Common Multiples of 2170

Related Least Common Multiples of 2178

Frequently Asked Questions on LCM of 2170 and 2178

1. What is the LCM of 2170 and 2178?

Answer: LCM of 2170 and 2178 is 2363130.

2. What are the Factors of 2170?

Answer: Factors of 2170 are 1, 2, 5, 7, 10, 14, 31, 35, 62, 70, 155, 217, 310, 434, 1085, 2170. There are 16 integers that are factors of 2170. The greatest factor of 2170 is 2170.

3. What are the Factors of 2178?

Answer: Factors of 2178 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 121, 198, 242, 363, 726, 1089, 2178. There are 18 integers that are factors of 2178. The greatest factor of 2178 is 2178.

4. How to Find the LCM of 2170 and 2178?

Answer:

Least Common Multiple of 2170 and 2178 = 2363130

Step 1: Find the prime factorization of 2170

2170 = 2 x 5 x 7 x 31

Step 2: Find the prime factorization of 2178

2178 = 2 x 3 x 3 x 11 x 11

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

LCM = 2363130 = 2 x 3 x 3 x 5 x 7 x 11 x 11 x 31

Step 4: Therefore, the least common multiple of 2170 and 2178 is 2363130.