Least Common Multiple of 4175 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 4175 and 4183 the smallest integer that is 17464025 that is divisible by both numbers.

Least Common Multiple (LCM) of 4175 and 4183 is 17464025.

LCM(4175,4183) = 17464025

LCM of 4175 and 4183

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

LCM of:
and

Least Common Multiple of 4175 and 4183

LCM of 4175 and 4183 is 17464025

Least common multiple can be found by multiplying the highest exponent prime factors of 4175 and 4183. First we will calculate the prime factors of 4175 and 4183.

Prime Factorization of 4175


5 4175
5 835
167 167
1

Prime factors of 4175 are 5,167. Prime factorization of 4175 in exponential form is:

4175 = 52×1671

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 4175 and 4183.

LCM(4175,4183) = 52×471×891×1671
LCM(4175,4183) = 17464025

Factors of 4175

List of positive integer factors of 4175 that divides 4175 without a remainder.

1, 5, 25, 167, 835, 4175

Factors of 4183

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

1, 47, 89, 4183

Least Common Multiple of 4175 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 4175 and 4183, than apply into the LCM equation.

GCF(4175,4183) = 1
LCM(4175,4183) = ( 4175 × 4183) / 1
LCM(4175,4183) = 17464025 / 1
LCM(4175,4183) = 17464025

Properties of LCM 4175 and 4183

(i) The LCM of 4183 and 4175 is associative

LCM of 4175 and 4183 = LCM of 4183 and 4175

Related Least Common Multiples of 4175

Related Least Common Multiples of 4183

Frequently Asked Questions on LCM of 4175 and 4183

1. What is the LCM of 4175 and 4183?

Answer: LCM of 4175 and 4183 is 17464025.

2. What are the Factors of 4175?

Answer: Factors of 4175 are 1, 5, 25, 167, 835, 4175. There are 6 integers that are factors of 4175. The greatest factor of 4175 is 4175.

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 4175 and 4183?

Answer:

Least Common Multiple of 4175 and 4183 = 17464025

Step 1: Find the prime factorization of 4175

4175 = 5 x 5 x 167

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 = 17464025 = 5 x 5 x 47 x 89 x 167

Step 4: Therefore, the least common multiple of 4175 and 4183 is 17464025.