Least Common Multiple of 4164 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 4164 and 4166 the smallest integer that is 8673612 that is divisible by both numbers.

Least Common Multiple (LCM) of 4164 and 4166 is 8673612.

LCM(4164,4166) = 8673612

LCM of 4164 and 4166

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

LCM of:
and

Least Common Multiple of 4164 and 4166

LCM of 4164 and 4166 is 8673612

Least common multiple can be found by multiplying the highest exponent prime factors of 4164 and 4166. First we will calculate the prime factors of 4164 and 4166.

Prime Factorization of 4164


2 4164
2 2082
3 1041
347 347
1

Prime factors of 4164 are 2, 3,347. Prime factorization of 4164 in exponential form is:

4164 = 22×31×3471

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 4164 and 4166.

LCM(4164,4166) = 22×31×3471×20831
LCM(4164,4166) = 8673612

Factors of 4164

List of positive integer factors of 4164 that divides 4164 without a remainder.

1, 2, 3, 4, 6, 12, 347, 694, 1041, 1388, 2082, 4164

Factors of 4166

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

1, 2, 2083, 4166

Least Common Multiple of 4164 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 4164 and 4166, than apply into the LCM equation.

GCF(4164,4166) = 2
LCM(4164,4166) = ( 4164 × 4166) / 2
LCM(4164,4166) = 17347224 / 2
LCM(4164,4166) = 8673612

Properties of LCM 4164 and 4166

(i) The LCM of 4166 and 4164 is associative

LCM of 4164 and 4166 = LCM of 4166 and 4164

Related Least Common Multiples of 4164

Related Least Common Multiples of 4166

Frequently Asked Questions on LCM of 4164 and 4166

1. What is the LCM of 4164 and 4166?

Answer: LCM of 4164 and 4166 is 8673612.

2. What are the Factors of 4164?

Answer: Factors of 4164 are 1, 2, 3, 4, 6, 12, 347, 694, 1041, 1388, 2082, 4164. There are 12 integers that are factors of 4164. The greatest factor of 4164 is 4164.

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 4164 and 4166?

Answer:

Least Common Multiple of 4164 and 4166 = 8673612

Step 1: Find the prime factorization of 4164

4164 = 2 x 2 x 3 x 347

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 = 8673612 = 2 x 2 x 3 x 347 x 2083

Step 4: Therefore, the least common multiple of 4164 and 4166 is 8673612.