Least Common Multiple of 4158 and 4166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4158 and 4166 the smallest integer that is 8661114 that is divisible by both numbers.

Least Common Multiple (LCM) of 4158 and 4166 is 8661114.

LCM(4158,4166) = 8661114

LCM of 4158 and 4166

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

LCM of:
and

Least Common Multiple of 4158 and 4166

LCM of 4158 and 4166 is 8661114

Least common multiple can be found by multiplying the highest exponent prime factors of 4158 and 4166. First we will calculate the prime factors of 4158 and 4166.

Prime Factorization of 4158


2 4158
3 2079
3 693
3 231
7 77
11 11
1

Prime factors of 4158 are 2, 3, 7,11. Prime factorization of 4158 in exponential form is:

4158 = 21×33×71×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4158 and 4166.

LCM(4158,4166) = 21×33×71×111×20831
LCM(4158,4166) = 8661114

Factors of 4158

List of positive integer factors of 4158 that divides 4158 without a remainder.

1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 54, 63, 66, 77, 99, 126, 154, 189, 198, 231, 297, 378, 462, 594, 693, 1386, 2079, 4158

Factors of 4166

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

1, 2, 2083, 4166

Least Common Multiple of 4158 and 4166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4158 and 4166, than apply into the LCM equation.

GCF(4158,4166) = 2
LCM(4158,4166) = ( 4158 × 4166) / 2
LCM(4158,4166) = 17322228 / 2
LCM(4158,4166) = 8661114

Properties of LCM 4158 and 4166

(i) The LCM of 4166 and 4158 is associative

LCM of 4158 and 4166 = LCM of 4166 and 4158

Related Least Common Multiples of 4158

Related Least Common Multiples of 4166

Frequently Asked Questions on LCM of 4158 and 4166

1. What is the LCM of 4158 and 4166?

Answer: LCM of 4158 and 4166 is 8661114.

2. What are the Factors of 4158?

Answer: Factors of 4158 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 54, 63, 66, 77, 99, 126, 154, 189, 198, 231, 297, 378, 462, 594, 693, 1386, 2079, 4158. There are 32 integers that are factors of 4158. The greatest factor of 4158 is 4158.

3. 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.

4. How to Find the LCM of 4158 and 4166?

Answer:

Least Common Multiple of 4158 and 4166 = 8661114

Step 1: Find the prime factorization of 4158

4158 = 2 x 3 x 3 x 3 x 7 x 11

Step 2: Find the prime factorization of 4166

4166 = 2 x 2083

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

LCM = 8661114 = 2 x 3 x 3 x 3 x 7 x 11 x 2083

Step 4: Therefore, the least common multiple of 4158 and 4166 is 8661114.