Least Common Multiple of 4175 and 4180

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 4180 the smallest integer that is 3490300 that is divisible by both numbers.

Least Common Multiple (LCM) of 4175 and 4180 is 3490300.

LCM(4175,4180) = 3490300

LCM of 4175 and 4180

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

LCM of:
and

Least Common Multiple of 4175 and 4180

LCM of 4175 and 4180 is 3490300

Least common multiple can be found by multiplying the highest exponent prime factors of 4175 and 4180. First we will calculate the prime factors of 4175 and 4180.

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 4180


2 4180
2 2090
5 1045
11 209
19 19
1

Prime factors of 4180 are 2, 5, 11,19. Prime factorization of 4180 in exponential form is:

4180 = 22×51×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 4175 and 4180.

LCM(4175,4180) = 22×52×111×191×1671
LCM(4175,4180) = 3490300

Factors of 4175

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

1, 5, 25, 167, 835, 4175

Factors of 4180

List of positive integer factors of 4180 that divides 4180 without a remainder.

1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090, 4180

Least Common Multiple of 4175 and 4180 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 4180, than apply into the LCM equation.

GCF(4175,4180) = 5
LCM(4175,4180) = ( 4175 × 4180) / 5
LCM(4175,4180) = 17451500 / 5
LCM(4175,4180) = 3490300

Properties of LCM 4175 and 4180

(i) The LCM of 4180 and 4175 is associative

LCM of 4175 and 4180 = LCM of 4180 and 4175

Related Least Common Multiples of 4175

Related Least Common Multiples of 4180

Frequently Asked Questions on LCM of 4175 and 4180

1. What is the LCM of 4175 and 4180?

Answer: LCM of 4175 and 4180 is 3490300.

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 4180?

Answer: Factors of 4180 are 1, 2, 4, 5, 10, 11, 19, 20, 22, 38, 44, 55, 76, 95, 110, 190, 209, 220, 380, 418, 836, 1045, 2090, 4180. There are 24 integers that are factors of 4180. The greatest factor of 4180 is 4180.

4. How to Find the LCM of 4175 and 4180?

Answer:

Least Common Multiple of 4175 and 4180 = 3490300

Step 1: Find the prime factorization of 4175

4175 = 5 x 5 x 167

Step 2: Find the prime factorization of 4180

4180 = 2 x 2 x 5 x 11 x 19

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

LCM = 3490300 = 2 x 2 x 5 x 5 x 11 x 19 x 167

Step 4: Therefore, the least common multiple of 4175 and 4180 is 3490300.