Least Common Multiple of 4166 and 4173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4166 and 4173 the smallest integer that is 17384718 that is divisible by both numbers.

Least Common Multiple (LCM) of 4166 and 4173 is 17384718.

LCM(4166,4173) = 17384718

LCM of 4166 and 4173

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

LCM of:
and

Least Common Multiple of 4166 and 4173

LCM of 4166 and 4173 is 17384718

Least common multiple can be found by multiplying the highest exponent prime factors of 4166 and 4173. First we will calculate the prime factors of 4166 and 4173.

Prime Factorization of 4166


2 4166
2083 2083
1

Prime factors of 4166 are 2,2083. Prime factorization of 4166 in exponential form is:

4166 = 21×20831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4166 and 4173.

LCM(4166,4173) = 21×31×131×1071×20831
LCM(4166,4173) = 17384718

Factors of 4166

List of positive integer factors of 4166 that divides 4166 without a remainder.

1, 2, 2083, 4166

Factors of 4173

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

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

Least Common Multiple of 4166 and 4173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4166 and 4173, than apply into the LCM equation.

GCF(4166,4173) = 1
LCM(4166,4173) = ( 4166 × 4173) / 1
LCM(4166,4173) = 17384718 / 1
LCM(4166,4173) = 17384718

Properties of LCM 4166 and 4173

(i) The LCM of 4173 and 4166 is associative

LCM of 4166 and 4173 = LCM of 4173 and 4166

Related Least Common Multiples of 4166

Related Least Common Multiples of 4173

Frequently Asked Questions on LCM of 4166 and 4173

1. What is the LCM of 4166 and 4173?

Answer: LCM of 4166 and 4173 is 17384718.

2. What are the Factors of 4166?

Answer: Factors of 4166 are 1, 2, 2083, 4166. There are 4 integers that are factors of 4166. The greatest factor of 4166 is 4166.

3. 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.

4. How to Find the LCM of 4166 and 4173?

Answer:

Least Common Multiple of 4166 and 4173 = 17384718

Step 1: Find the prime factorization of 4166

4166 = 2 x 2083

Step 2: Find the prime factorization of 4173

4173 = 3 x 13 x 107

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

LCM = 17384718 = 2 x 3 x 13 x 107 x 2083

Step 4: Therefore, the least common multiple of 4166 and 4173 is 17384718.