Least Common Multiple of 4170 and 4178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4170 and 4178 the smallest integer that is 8711130 that is divisible by both numbers.

Least Common Multiple (LCM) of 4170 and 4178 is 8711130.

LCM(4170,4178) = 8711130

LCM of 4170 and 4178

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

LCM of:
and

Least Common Multiple of 4170 and 4178

LCM of 4170 and 4178 is 8711130

Least common multiple can be found by multiplying the highest exponent prime factors of 4170 and 4178. First we will calculate the prime factors of 4170 and 4178.

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

Prime Factorization of 4178


2 4178
2089 2089
1

Prime factors of 4178 are 2,2089. Prime factorization of 4178 in exponential form is:

4178 = 21×20891

Now multiplying the highest exponent prime factors to calculate the LCM of 4170 and 4178.

LCM(4170,4178) = 21×31×51×1391×20891
LCM(4170,4178) = 8711130

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

Factors of 4178

List of positive integer factors of 4178 that divides 4178 without a remainder.

1, 2, 2089, 4178

Least Common Multiple of 4170 and 4178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4170 and 4178, than apply into the LCM equation.

GCF(4170,4178) = 2
LCM(4170,4178) = ( 4170 × 4178) / 2
LCM(4170,4178) = 17422260 / 2
LCM(4170,4178) = 8711130

Properties of LCM 4170 and 4178

(i) The LCM of 4178 and 4170 is associative

LCM of 4170 and 4178 = LCM of 4178 and 4170

Related Least Common Multiples of 4170

Related Least Common Multiples of 4178

Frequently Asked Questions on LCM of 4170 and 4178

1. What is the LCM of 4170 and 4178?

Answer: LCM of 4170 and 4178 is 8711130.

2. 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.

3. What are the Factors of 4178?

Answer: Factors of 4178 are 1, 2, 2089, 4178. There are 4 integers that are factors of 4178. The greatest factor of 4178 is 4178.

4. How to Find the LCM of 4170 and 4178?

Answer:

Least Common Multiple of 4170 and 4178 = 8711130

Step 1: Find the prime factorization of 4170

4170 = 2 x 3 x 5 x 139

Step 2: Find the prime factorization of 4178

4178 = 2 x 2089

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

LCM = 8711130 = 2 x 3 x 5 x 139 x 2089

Step 4: Therefore, the least common multiple of 4170 and 4178 is 8711130.