Least Common Multiple of 4177 and 4181

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 4181 the smallest integer that is 17464037 that is divisible by both numbers.

Least Common Multiple (LCM) of 4177 and 4181 is 17464037.

LCM(4177,4181) = 17464037

LCM of 4177 and 4181

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

LCM of:
and

Least Common Multiple of 4177 and 4181

LCM of 4177 and 4181 is 17464037

Least common multiple can be found by multiplying the highest exponent prime factors of 4177 and 4181. First we will calculate the prime factors of 4177 and 4181.

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 4181


37 4181
113 113
1

Prime factors of 4181 are 37,113. Prime factorization of 4181 in exponential form is:

4181 = 371×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 4177 and 4181.

LCM(4177,4181) = 371×1131×41771
LCM(4177,4181) = 17464037

Factors of 4177

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

1, 4177

Factors of 4181

List of positive integer factors of 4181 that divides 4181 without a remainder.

1, 37, 113, 4181

Least Common Multiple of 4177 and 4181 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 4181, than apply into the LCM equation.

GCF(4177,4181) = 1
LCM(4177,4181) = ( 4177 × 4181) / 1
LCM(4177,4181) = 17464037 / 1
LCM(4177,4181) = 17464037

Properties of LCM 4177 and 4181

(i) The LCM of 4181 and 4177 is associative

LCM of 4177 and 4181 = LCM of 4181 and 4177

Related Least Common Multiples of 4177

Related Least Common Multiples of 4181

Frequently Asked Questions on LCM of 4177 and 4181

1. What is the LCM of 4177 and 4181?

Answer: LCM of 4177 and 4181 is 17464037.

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 4181?

Answer: Factors of 4181 are 1, 37, 113, 4181. There are 4 integers that are factors of 4181. The greatest factor of 4181 is 4181.

4. How to Find the LCM of 4177 and 4181?

Answer:

Least Common Multiple of 4177 and 4181 = 17464037

Step 1: Find the prime factorization of 4177

4177 = 4177

Step 2: Find the prime factorization of 4181

4181 = 37 x 113

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

LCM = 17464037 = 37 x 113 x 4177

Step 4: Therefore, the least common multiple of 4177 and 4181 is 17464037.