Least Common Multiple of 4164 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 4164 and 4172 the smallest integer that is 4343052 that is divisible by both numbers.

Least Common Multiple (LCM) of 4164 and 4172 is 4343052.

LCM(4164,4172) = 4343052

LCM of 4164 and 4172

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

LCM of:
and

Least Common Multiple of 4164 and 4172

LCM of 4164 and 4172 is 4343052

Least common multiple can be found by multiplying the highest exponent prime factors of 4164 and 4172. First we will calculate the prime factors of 4164 and 4172.

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 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 4164 and 4172.

LCM(4164,4172) = 22×31×71×1491×3471
LCM(4164,4172) = 4343052

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 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 4164 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 4164 and 4172, than apply into the LCM equation.

GCF(4164,4172) = 4
LCM(4164,4172) = ( 4164 × 4172) / 4
LCM(4164,4172) = 17372208 / 4
LCM(4164,4172) = 4343052

Properties of LCM 4164 and 4172

(i) The LCM of 4172 and 4164 is associative

LCM of 4164 and 4172 = LCM of 4172 and 4164

Related Least Common Multiples of 4164

Related Least Common Multiples of 4172

Frequently Asked Questions on LCM of 4164 and 4172

1. What is the LCM of 4164 and 4172?

Answer: LCM of 4164 and 4172 is 4343052.

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 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 4164 and 4172?

Answer:

Least Common Multiple of 4164 and 4172 = 4343052

Step 1: Find the prime factorization of 4164

4164 = 2 x 2 x 3 x 347

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 = 4343052 = 2 x 2 x 3 x 7 x 149 x 347

Step 4: Therefore, the least common multiple of 4164 and 4172 is 4343052.