Least Common Multiple of 2170 and 2174

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 2174 the smallest integer that is 2358790 that is divisible by both numbers.

Least Common Multiple (LCM) of 2170 and 2174 is 2358790.

LCM(2170,2174) = 2358790

LCM of 2170 and 2174

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

LCM of:
and

Least Common Multiple of 2170 and 2174

LCM of 2170 and 2174 is 2358790

Least common multiple can be found by multiplying the highest exponent prime factors of 2170 and 2174. First we will calculate the prime factors of 2170 and 2174.

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 2174


2 2174
1087 1087
1

Prime factors of 2174 are 2,1087. Prime factorization of 2174 in exponential form is:

2174 = 21×10871

Now multiplying the highest exponent prime factors to calculate the LCM of 2170 and 2174.

LCM(2170,2174) = 21×51×71×311×10871
LCM(2170,2174) = 2358790

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 2174

List of positive integer factors of 2174 that divides 2174 without a remainder.

1, 2, 1087, 2174

Least Common Multiple of 2170 and 2174 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 2174, than apply into the LCM equation.

GCF(2170,2174) = 2
LCM(2170,2174) = ( 2170 × 2174) / 2
LCM(2170,2174) = 4717580 / 2
LCM(2170,2174) = 2358790

Properties of LCM 2170 and 2174

(i) The LCM of 2174 and 2170 is associative

LCM of 2170 and 2174 = LCM of 2174 and 2170

Related Least Common Multiples of 2170

Related Least Common Multiples of 2174

Frequently Asked Questions on LCM of 2170 and 2174

1. What is the LCM of 2170 and 2174?

Answer: LCM of 2170 and 2174 is 2358790.

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 2174?

Answer: Factors of 2174 are 1, 2, 1087, 2174. There are 4 integers that are factors of 2174. The greatest factor of 2174 is 2174.

4. How to Find the LCM of 2170 and 2174?

Answer:

Least Common Multiple of 2170 and 2174 = 2358790

Step 1: Find the prime factorization of 2170

2170 = 2 x 5 x 7 x 31

Step 2: Find the prime factorization of 2174

2174 = 2 x 1087

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

LCM = 2358790 = 2 x 5 x 7 x 31 x 1087

Step 4: Therefore, the least common multiple of 2170 and 2174 is 2358790.