Least Common Multiple of 4166 and 4172

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 4172 the smallest integer that is 8690276 that is divisible by both numbers.

Least Common Multiple (LCM) of 4166 and 4172 is 8690276.

LCM(4166,4172) = 8690276

LCM of 4166 and 4172

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

LCM of:
and

Least Common Multiple of 4166 and 4172

LCM of 4166 and 4172 is 8690276

Least common multiple can be found by multiplying the highest exponent prime factors of 4166 and 4172. First we will calculate the prime factors of 4166 and 4172.

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 4172


2 4172
2 2086
7 1043
149 149
1

Prime factors of 4172 are 2, 7,149. Prime factorization of 4172 in exponential form is:

4172 = 22×71×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 4166 and 4172.

LCM(4166,4172) = 22×71×1491×20831
LCM(4166,4172) = 8690276

Factors of 4166

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

1, 2, 2083, 4166

Factors of 4172

List of positive integer factors of 4172 that divides 4172 without a remainder.

1, 2, 4, 7, 14, 28, 149, 298, 596, 1043, 2086, 4172

Least Common Multiple of 4166 and 4172 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 4172, than apply into the LCM equation.

GCF(4166,4172) = 2
LCM(4166,4172) = ( 4166 × 4172) / 2
LCM(4166,4172) = 17380552 / 2
LCM(4166,4172) = 8690276

Properties of LCM 4166 and 4172

(i) The LCM of 4172 and 4166 is associative

LCM of 4166 and 4172 = LCM of 4172 and 4166

Related Least Common Multiples of 4166

Related Least Common Multiples of 4172

Frequently Asked Questions on LCM of 4166 and 4172

1. What is the LCM of 4166 and 4172?

Answer: LCM of 4166 and 4172 is 8690276.

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 4172?

Answer: Factors of 4172 are 1, 2, 4, 7, 14, 28, 149, 298, 596, 1043, 2086, 4172. There are 12 integers that are factors of 4172. The greatest factor of 4172 is 4172.

4. How to Find the LCM of 4166 and 4172?

Answer:

Least Common Multiple of 4166 and 4172 = 8690276

Step 1: Find the prime factorization of 4166

4166 = 2 x 2083

Step 2: Find the prime factorization of 4172

4172 = 2 x 2 x 7 x 149

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

LCM = 8690276 = 2 x 2 x 7 x 149 x 2083

Step 4: Therefore, the least common multiple of 4166 and 4172 is 8690276.