Least Common Multiple of 4173 and 4179

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4173 and 4179 the smallest integer that is 5812989 that is divisible by both numbers.

Least Common Multiple (LCM) of 4173 and 4179 is 5812989.

LCM(4173,4179) = 5812989

LCM of 4173 and 4179

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

LCM of:
and

Least Common Multiple of 4173 and 4179

LCM of 4173 and 4179 is 5812989

Least common multiple can be found by multiplying the highest exponent prime factors of 4173 and 4179. First we will calculate the prime factors of 4173 and 4179.

Prime Factorization of 4173


3 4173
13 1391
107 107
1

Prime factors of 4173 are 3, 13,107. Prime factorization of 4173 in exponential form is:

4173 = 31×131×1071

Prime Factorization of 4179


3 4179
7 1393
199 199
1

Prime factors of 4179 are 3, 7,199. Prime factorization of 4179 in exponential form is:

4179 = 31×71×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 4173 and 4179.

LCM(4173,4179) = 31×71×131×1071×1991
LCM(4173,4179) = 5812989

Factors of 4173

List of positive integer factors of 4173 that divides 4173 without a remainder.

1, 3, 13, 39, 107, 321, 1391, 4173

Factors of 4179

List of positive integer factors of 4179 that divides 4179 without a remainder.

1, 3, 7, 21, 199, 597, 1393, 4179

Least Common Multiple of 4173 and 4179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4173 and 4179, than apply into the LCM equation.

GCF(4173,4179) = 3
LCM(4173,4179) = ( 4173 × 4179) / 3
LCM(4173,4179) = 17438967 / 3
LCM(4173,4179) = 5812989

Properties of LCM 4173 and 4179

(i) The LCM of 4179 and 4173 is associative

LCM of 4173 and 4179 = LCM of 4179 and 4173

Related Least Common Multiples of 4173

Related Least Common Multiples of 4179

Frequently Asked Questions on LCM of 4173 and 4179

1. What is the LCM of 4173 and 4179?

Answer: LCM of 4173 and 4179 is 5812989.

2. What are the Factors of 4173?

Answer: Factors of 4173 are 1, 3, 13, 39, 107, 321, 1391, 4173. There are 8 integers that are factors of 4173. The greatest factor of 4173 is 4173.

3. What are the Factors of 4179?

Answer: Factors of 4179 are 1, 3, 7, 21, 199, 597, 1393, 4179. There are 8 integers that are factors of 4179. The greatest factor of 4179 is 4179.

4. How to Find the LCM of 4173 and 4179?

Answer:

Least Common Multiple of 4173 and 4179 = 5812989

Step 1: Find the prime factorization of 4173

4173 = 3 x 13 x 107

Step 2: Find the prime factorization of 4179

4179 = 3 x 7 x 199

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

LCM = 5812989 = 3 x 7 x 13 x 107 x 199

Step 4: Therefore, the least common multiple of 4173 and 4179 is 5812989.