Least Common Multiple of 4172 and 4176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4172 and 4176 the smallest integer that is 4355568 that is divisible by both numbers.

Least Common Multiple (LCM) of 4172 and 4176 is 4355568.

LCM(4172,4176) = 4355568

LCM of 4172 and 4176

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

LCM of:
and

Least Common Multiple of 4172 and 4176

LCM of 4172 and 4176 is 4355568

Least common multiple can be found by multiplying the highest exponent prime factors of 4172 and 4176. First we will calculate the prime factors of 4172 and 4176.

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

Prime Factorization of 4176


2 4176
2 2088
2 1044
2 522
3 261
3 87
29 29
1

Prime factors of 4176 are 2, 3,29. Prime factorization of 4176 in exponential form is:

4176 = 24×32×291

Now multiplying the highest exponent prime factors to calculate the LCM of 4172 and 4176.

LCM(4172,4176) = 24×32×71×291×1491
LCM(4172,4176) = 4355568

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

Factors of 4176

List of positive integer factors of 4176 that divides 4176 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088, 4176

Least Common Multiple of 4172 and 4176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4172 and 4176, than apply into the LCM equation.

GCF(4172,4176) = 4
LCM(4172,4176) = ( 4172 × 4176) / 4
LCM(4172,4176) = 17422272 / 4
LCM(4172,4176) = 4355568

Properties of LCM 4172 and 4176

(i) The LCM of 4176 and 4172 is associative

LCM of 4172 and 4176 = LCM of 4176 and 4172

Related Least Common Multiples of 4172

Related Least Common Multiples of 4176

Frequently Asked Questions on LCM of 4172 and 4176

1. What is the LCM of 4172 and 4176?

Answer: LCM of 4172 and 4176 is 4355568.

2. 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.

3. What are the Factors of 4176?

Answer: Factors of 4176 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 29, 36, 48, 58, 72, 87, 116, 144, 174, 232, 261, 348, 464, 522, 696, 1044, 1392, 2088, 4176. There are 30 integers that are factors of 4176. The greatest factor of 4176 is 4176.

4. How to Find the LCM of 4172 and 4176?

Answer:

Least Common Multiple of 4172 and 4176 = 4355568

Step 1: Find the prime factorization of 4172

4172 = 2 x 2 x 7 x 149

Step 2: Find the prime factorization of 4176

4176 = 2 x 2 x 2 x 2 x 3 x 3 x 29

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

LCM = 4355568 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 29 x 149

Step 4: Therefore, the least common multiple of 4172 and 4176 is 4355568.