Least Common Multiple of 2167 and 2170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2167 and 2170 the smallest integer that is 4702390 that is divisible by both numbers.

Least Common Multiple (LCM) of 2167 and 2170 is 4702390.

LCM(2167,2170) = 4702390

LCM of 2167 and 2170

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

LCM of:
and

Least Common Multiple of 2167 and 2170

LCM of 2167 and 2170 is 4702390

Least common multiple can be found by multiplying the highest exponent prime factors of 2167 and 2170. First we will calculate the prime factors of 2167 and 2170.

Prime Factorization of 2167


11 2167
197 197
1

Prime factors of 2167 are 11,197. Prime factorization of 2167 in exponential form is:

2167 = 111×1971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2167 and 2170.

LCM(2167,2170) = 21×51×71×111×311×1971
LCM(2167,2170) = 4702390

Factors of 2167

List of positive integer factors of 2167 that divides 2167 without a remainder.

1, 11, 197, 2167

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

Least Common Multiple of 2167 and 2170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2167 and 2170, than apply into the LCM equation.

GCF(2167,2170) = 1
LCM(2167,2170) = ( 2167 × 2170) / 1
LCM(2167,2170) = 4702390 / 1
LCM(2167,2170) = 4702390

Properties of LCM 2167 and 2170

(i) The LCM of 2170 and 2167 is associative

LCM of 2167 and 2170 = LCM of 2170 and 2167

Related Least Common Multiples of 2167

Related Least Common Multiples of 2170

Frequently Asked Questions on LCM of 2167 and 2170

1. What is the LCM of 2167 and 2170?

Answer: LCM of 2167 and 2170 is 4702390.

2. What are the Factors of 2167?

Answer: Factors of 2167 are 1, 11, 197, 2167. There are 4 integers that are factors of 2167. The greatest factor of 2167 is 2167.

3. 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.

4. How to Find the LCM of 2167 and 2170?

Answer:

Least Common Multiple of 2167 and 2170 = 4702390

Step 1: Find the prime factorization of 2167

2167 = 11 x 197

Step 2: Find the prime factorization of 2170

2170 = 2 x 5 x 7 x 31

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

LCM = 4702390 = 2 x 5 x 7 x 11 x 31 x 197

Step 4: Therefore, the least common multiple of 2167 and 2170 is 4702390.