Least Common Multiple of 2173 and 2179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2173 and 2179 the smallest integer that is 4734967 that is divisible by both numbers.

Least Common Multiple (LCM) of 2173 and 2179 is 4734967.

LCM(2173,2179) = 4734967

LCM of 2173 and 2179

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

LCM of:
and

Least Common Multiple of 2173 and 2179

LCM of 2173 and 2179 is 4734967

Least common multiple can be found by multiplying the highest exponent prime factors of 2173 and 2179. First we will calculate the prime factors of 2173 and 2179.

Prime Factorization of 2173


41 2173
53 53
1

Prime factors of 2173 are 41,53. Prime factorization of 2173 in exponential form is:

2173 = 411×531

Prime Factorization of 2179


2179 2179
1

Prime factors of 2179 are 2179. Prime factorization of 2179 in exponential form is:

2179 = 21791

Now multiplying the highest exponent prime factors to calculate the LCM of 2173 and 2179.

LCM(2173,2179) = 411×531×21791
LCM(2173,2179) = 4734967

Factors of 2173

List of positive integer factors of 2173 that divides 2173 without a remainder.

1, 41, 53, 2173

Factors of 2179

List of positive integer factors of 2179 that divides 2179 without a remainder.

1, 2179

Least Common Multiple of 2173 and 2179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2173 and 2179, than apply into the LCM equation.

GCF(2173,2179) = 1
LCM(2173,2179) = ( 2173 × 2179) / 1
LCM(2173,2179) = 4734967 / 1
LCM(2173,2179) = 4734967

Properties of LCM 2173 and 2179

(i) The LCM of 2179 and 2173 is associative

LCM of 2173 and 2179 = LCM of 2179 and 2173

Related Least Common Multiples of 2173

Related Least Common Multiples of 2179

Frequently Asked Questions on LCM of 2173 and 2179

1. What is the LCM of 2173 and 2179?

Answer: LCM of 2173 and 2179 is 4734967.

2. What are the Factors of 2173?

Answer: Factors of 2173 are 1, 41, 53, 2173. There are 4 integers that are factors of 2173. The greatest factor of 2173 is 2173.

3. What are the Factors of 2179?

Answer: Factors of 2179 are 1, 2179. There are 2 integers that are factors of 2179. The greatest factor of 2179 is 2179.

4. How to Find the LCM of 2173 and 2179?

Answer:

Least Common Multiple of 2173 and 2179 = 4734967

Step 1: Find the prime factorization of 2173

2173 = 41 x 53

Step 2: Find the prime factorization of 2179

2179 = 2179

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

LCM = 4734967 = 41 x 53 x 2179

Step 4: Therefore, the least common multiple of 2173 and 2179 is 4734967.