Least Common Multiple of 4163 and 4170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4163 and 4170 the smallest integer that is 17359710 that is divisible by both numbers.

Least Common Multiple (LCM) of 4163 and 4170 is 17359710.

LCM(4163,4170) = 17359710

LCM of 4163 and 4170

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

LCM of:
and

Least Common Multiple of 4163 and 4170

LCM of 4163 and 4170 is 17359710

Least common multiple can be found by multiplying the highest exponent prime factors of 4163 and 4170. First we will calculate the prime factors of 4163 and 4170.

Prime Factorization of 4163


23 4163
181 181
1

Prime factors of 4163 are 23,181. Prime factorization of 4163 in exponential form is:

4163 = 231×1811

Prime Factorization of 4170


2 4170
3 2085
5 695
139 139
1

Prime factors of 4170 are 2, 3, 5,139. Prime factorization of 4170 in exponential form is:

4170 = 21×31×51×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 4163 and 4170.

LCM(4163,4170) = 21×31×51×231×1391×1811
LCM(4163,4170) = 17359710

Factors of 4163

List of positive integer factors of 4163 that divides 4163 without a remainder.

1, 23, 181, 4163

Factors of 4170

List of positive integer factors of 4170 that divides 4170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 139, 278, 417, 695, 834, 1390, 2085, 4170

Least Common Multiple of 4163 and 4170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4163 and 4170, than apply into the LCM equation.

GCF(4163,4170) = 1
LCM(4163,4170) = ( 4163 × 4170) / 1
LCM(4163,4170) = 17359710 / 1
LCM(4163,4170) = 17359710

Properties of LCM 4163 and 4170

(i) The LCM of 4170 and 4163 is associative

LCM of 4163 and 4170 = LCM of 4170 and 4163

Related Least Common Multiples of 4163

Related Least Common Multiples of 4170

Frequently Asked Questions on LCM of 4163 and 4170

1. What is the LCM of 4163 and 4170?

Answer: LCM of 4163 and 4170 is 17359710.

2. What are the Factors of 4163?

Answer: Factors of 4163 are 1, 23, 181, 4163. There are 4 integers that are factors of 4163. The greatest factor of 4163 is 4163.

3. What are the Factors of 4170?

Answer: Factors of 4170 are 1, 2, 3, 5, 6, 10, 15, 30, 139, 278, 417, 695, 834, 1390, 2085, 4170. There are 16 integers that are factors of 4170. The greatest factor of 4170 is 4170.

4. How to Find the LCM of 4163 and 4170?

Answer:

Least Common Multiple of 4163 and 4170 = 17359710

Step 1: Find the prime factorization of 4163

4163 = 23 x 181

Step 2: Find the prime factorization of 4170

4170 = 2 x 3 x 5 x 139

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

LCM = 17359710 = 2 x 3 x 5 x 23 x 139 x 181

Step 4: Therefore, the least common multiple of 4163 and 4170 is 17359710.