Least Common Multiple of 4170 and 4177

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 4177 the smallest integer that is 17418090 that is divisible by both numbers.

Least Common Multiple (LCM) of 4170 and 4177 is 17418090.

LCM(4170,4177) = 17418090

LCM of 4170 and 4177

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

LCM of:
and

Least Common Multiple of 4170 and 4177

LCM of 4170 and 4177 is 17418090

Least common multiple can be found by multiplying the highest exponent prime factors of 4170 and 4177. First we will calculate the prime factors of 4170 and 4177.

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 4177


4177 4177
1

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

4177 = 41771

Now multiplying the highest exponent prime factors to calculate the LCM of 4170 and 4177.

LCM(4170,4177) = 21×31×51×1391×41771
LCM(4170,4177) = 17418090

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 4177

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

1, 4177

Least Common Multiple of 4170 and 4177 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 4177, than apply into the LCM equation.

GCF(4170,4177) = 1
LCM(4170,4177) = ( 4170 × 4177) / 1
LCM(4170,4177) = 17418090 / 1
LCM(4170,4177) = 17418090

Properties of LCM 4170 and 4177

(i) The LCM of 4177 and 4170 is associative

LCM of 4170 and 4177 = LCM of 4177 and 4170

Related Least Common Multiples of 4170

Related Least Common Multiples of 4177

Frequently Asked Questions on LCM of 4170 and 4177

1. What is the LCM of 4170 and 4177?

Answer: LCM of 4170 and 4177 is 17418090.

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 4177?

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

4. How to Find the LCM of 4170 and 4177?

Answer:

Least Common Multiple of 4170 and 4177 = 17418090

Step 1: Find the prime factorization of 4170

4170 = 2 x 3 x 5 x 139

Step 2: Find the prime factorization of 4177

4177 = 4177

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

LCM = 17418090 = 2 x 3 x 5 x 139 x 4177

Step 4: Therefore, the least common multiple of 4170 and 4177 is 17418090.