Least Common Multiple of 4177 and 4185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4177 and 4185 the smallest integer that is 17480745 that is divisible by both numbers.

Least Common Multiple (LCM) of 4177 and 4185 is 17480745.

LCM(4177,4185) = 17480745

LCM of 4177 and 4185

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

LCM of:
and

Least Common Multiple of 4177 and 4185

LCM of 4177 and 4185 is 17480745

Least common multiple can be found by multiplying the highest exponent prime factors of 4177 and 4185. First we will calculate the prime factors of 4177 and 4185.

Prime Factorization of 4177


4177 4177
1

Prime factors of 4177 are 4177. Prime factorization of 4177 in exponential form is:

4177 = 41771

Prime Factorization of 4185


3 4185
3 1395
3 465
5 155
31 31
1

Prime factors of 4185 are 3, 5,31. Prime factorization of 4185 in exponential form is:

4185 = 33×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4177 and 4185.

LCM(4177,4185) = 33×51×311×41771
LCM(4177,4185) = 17480745

Factors of 4177

List of positive integer factors of 4177 that divides 4177 without a remainder.

1, 4177

Factors of 4185

List of positive integer factors of 4185 that divides 4185 without a remainder.

1, 3, 5, 9, 15, 27, 31, 45, 93, 135, 155, 279, 465, 837, 1395, 4185

Least Common Multiple of 4177 and 4185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4177 and 4185, than apply into the LCM equation.

GCF(4177,4185) = 1
LCM(4177,4185) = ( 4177 × 4185) / 1
LCM(4177,4185) = 17480745 / 1
LCM(4177,4185) = 17480745

Properties of LCM 4177 and 4185

(i) The LCM of 4185 and 4177 is associative

LCM of 4177 and 4185 = LCM of 4185 and 4177

Related Least Common Multiples of 4177

Related Least Common Multiples of 4185

Frequently Asked Questions on LCM of 4177 and 4185

1. What is the LCM of 4177 and 4185?

Answer: LCM of 4177 and 4185 is 17480745.

2. What are the Factors of 4177?

Answer: Factors of 4177 are 1, 4177. There are 2 integers that are factors of 4177. The greatest factor of 4177 is 4177.

3. What are the Factors of 4185?

Answer: Factors of 4185 are 1, 3, 5, 9, 15, 27, 31, 45, 93, 135, 155, 279, 465, 837, 1395, 4185. There are 16 integers that are factors of 4185. The greatest factor of 4185 is 4185.

4. How to Find the LCM of 4177 and 4185?

Answer:

Least Common Multiple of 4177 and 4185 = 17480745

Step 1: Find the prime factorization of 4177

4177 = 4177

Step 2: Find the prime factorization of 4185

4185 = 3 x 3 x 3 x 5 x 31

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

LCM = 17480745 = 3 x 3 x 3 x 5 x 31 x 4177

Step 4: Therefore, the least common multiple of 4177 and 4185 is 17480745.