Least Common Multiple of 2164 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 2164 and 2170 the smallest integer that is 2347940 that is divisible by both numbers.

Least Common Multiple (LCM) of 2164 and 2170 is 2347940.

LCM(2164,2170) = 2347940

LCM of 2164 and 2170

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

LCM of:
and

Least Common Multiple of 2164 and 2170

LCM of 2164 and 2170 is 2347940

Least common multiple can be found by multiplying the highest exponent prime factors of 2164 and 2170. First we will calculate the prime factors of 2164 and 2170.

Prime Factorization of 2164


2 2164
2 1082
541 541
1

Prime factors of 2164 are 2,541. Prime factorization of 2164 in exponential form is:

2164 = 22×5411

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 2164 and 2170.

LCM(2164,2170) = 22×51×71×311×5411
LCM(2164,2170) = 2347940

Factors of 2164

List of positive integer factors of 2164 that divides 2164 without a remainder.

1, 2, 4, 541, 1082, 2164

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 2164 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 2164 and 2170, than apply into the LCM equation.

GCF(2164,2170) = 2
LCM(2164,2170) = ( 2164 × 2170) / 2
LCM(2164,2170) = 4695880 / 2
LCM(2164,2170) = 2347940

Properties of LCM 2164 and 2170

(i) The LCM of 2170 and 2164 is associative

LCM of 2164 and 2170 = LCM of 2170 and 2164

Related Least Common Multiples of 2164

Related Least Common Multiples of 2170

Frequently Asked Questions on LCM of 2164 and 2170

1. What is the LCM of 2164 and 2170?

Answer: LCM of 2164 and 2170 is 2347940.

2. What are the Factors of 2164?

Answer: Factors of 2164 are 1, 2, 4, 541, 1082, 2164. There are 6 integers that are factors of 2164. The greatest factor of 2164 is 2164.

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 2164 and 2170?

Answer:

Least Common Multiple of 2164 and 2170 = 2347940

Step 1: Find the prime factorization of 2164

2164 = 2 x 2 x 541

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 = 2347940 = 2 x 2 x 5 x 7 x 31 x 541

Step 4: Therefore, the least common multiple of 2164 and 2170 is 2347940.