Least Common Multiple of 4176 and 4183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4176 and 4183 the smallest integer that is 17468208 that is divisible by both numbers.

Least Common Multiple (LCM) of 4176 and 4183 is 17468208.

LCM(4176,4183) = 17468208

LCM of 4176 and 4183

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

LCM of:
and

Least Common Multiple of 4176 and 4183

LCM of 4176 and 4183 is 17468208

Least common multiple can be found by multiplying the highest exponent prime factors of 4176 and 4183. First we will calculate the prime factors of 4176 and 4183.

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

Prime Factorization of 4183


47 4183
89 89
1

Prime factors of 4183 are 47,89. Prime factorization of 4183 in exponential form is:

4183 = 471×891

Now multiplying the highest exponent prime factors to calculate the LCM of 4176 and 4183.

LCM(4176,4183) = 24×32×291×471×891
LCM(4176,4183) = 17468208

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

Factors of 4183

List of positive integer factors of 4183 that divides 4183 without a remainder.

1, 47, 89, 4183

Least Common Multiple of 4176 and 4183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4176 and 4183, than apply into the LCM equation.

GCF(4176,4183) = 1
LCM(4176,4183) = ( 4176 × 4183) / 1
LCM(4176,4183) = 17468208 / 1
LCM(4176,4183) = 17468208

Properties of LCM 4176 and 4183

(i) The LCM of 4183 and 4176 is associative

LCM of 4176 and 4183 = LCM of 4183 and 4176

Related Least Common Multiples of 4176

Related Least Common Multiples of 4183

Frequently Asked Questions on LCM of 4176 and 4183

1. What is the LCM of 4176 and 4183?

Answer: LCM of 4176 and 4183 is 17468208.

2. 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.

3. What are the Factors of 4183?

Answer: Factors of 4183 are 1, 47, 89, 4183. There are 4 integers that are factors of 4183. The greatest factor of 4183 is 4183.

4. How to Find the LCM of 4176 and 4183?

Answer:

Least Common Multiple of 4176 and 4183 = 17468208

Step 1: Find the prime factorization of 4176

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

Step 2: Find the prime factorization of 4183

4183 = 47 x 89

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

LCM = 17468208 = 2 x 2 x 2 x 2 x 3 x 3 x 29 x 47 x 89

Step 4: Therefore, the least common multiple of 4176 and 4183 is 17468208.