Least Common Multiple of 2164 and 2171

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 2171 the smallest integer that is 4698044 that is divisible by both numbers.

Least Common Multiple (LCM) of 2164 and 2171 is 4698044.

LCM(2164,2171) = 4698044

LCM of 2164 and 2171

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

LCM of:
and

Least Common Multiple of 2164 and 2171

LCM of 2164 and 2171 is 4698044

Least common multiple can be found by multiplying the highest exponent prime factors of 2164 and 2171. First we will calculate the prime factors of 2164 and 2171.

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 2171


13 2171
167 167
1

Prime factors of 2171 are 13,167. Prime factorization of 2171 in exponential form is:

2171 = 131×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 2164 and 2171.

LCM(2164,2171) = 22×131×1671×5411
LCM(2164,2171) = 4698044

Factors of 2164

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

1, 2, 4, 541, 1082, 2164

Factors of 2171

List of positive integer factors of 2171 that divides 2171 without a remainder.

1, 13, 167, 2171

Least Common Multiple of 2164 and 2171 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 2171, than apply into the LCM equation.

GCF(2164,2171) = 1
LCM(2164,2171) = ( 2164 × 2171) / 1
LCM(2164,2171) = 4698044 / 1
LCM(2164,2171) = 4698044

Properties of LCM 2164 and 2171

(i) The LCM of 2171 and 2164 is associative

LCM of 2164 and 2171 = LCM of 2171 and 2164

Related Least Common Multiples of 2164

Related Least Common Multiples of 2171

Frequently Asked Questions on LCM of 2164 and 2171

1. What is the LCM of 2164 and 2171?

Answer: LCM of 2164 and 2171 is 4698044.

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 2171?

Answer: Factors of 2171 are 1, 13, 167, 2171. There are 4 integers that are factors of 2171. The greatest factor of 2171 is 2171.

4. How to Find the LCM of 2164 and 2171?

Answer:

Least Common Multiple of 2164 and 2171 = 4698044

Step 1: Find the prime factorization of 2164

2164 = 2 x 2 x 541

Step 2: Find the prime factorization of 2171

2171 = 13 x 167

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

LCM = 4698044 = 2 x 2 x 13 x 167 x 541

Step 4: Therefore, the least common multiple of 2164 and 2171 is 4698044.