Least Common Multiple of 4170 and 4175

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 4175 the smallest integer that is 3481950 that is divisible by both numbers.

Least Common Multiple (LCM) of 4170 and 4175 is 3481950.

LCM(4170,4175) = 3481950

LCM of 4170 and 4175

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

LCM of:
and

Least Common Multiple of 4170 and 4175

LCM of 4170 and 4175 is 3481950

Least common multiple can be found by multiplying the highest exponent prime factors of 4170 and 4175. First we will calculate the prime factors of 4170 and 4175.

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 4175


5 4175
5 835
167 167
1

Prime factors of 4175 are 5,167. Prime factorization of 4175 in exponential form is:

4175 = 52×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 4170 and 4175.

LCM(4170,4175) = 21×31×52×1391×1671
LCM(4170,4175) = 3481950

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 4175

List of positive integer factors of 4175 that divides 4175 without a remainder.

1, 5, 25, 167, 835, 4175

Least Common Multiple of 4170 and 4175 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 4175, than apply into the LCM equation.

GCF(4170,4175) = 5
LCM(4170,4175) = ( 4170 × 4175) / 5
LCM(4170,4175) = 17409750 / 5
LCM(4170,4175) = 3481950

Properties of LCM 4170 and 4175

(i) The LCM of 4175 and 4170 is associative

LCM of 4170 and 4175 = LCM of 4175 and 4170

Related Least Common Multiples of 4170

Related Least Common Multiples of 4175

Frequently Asked Questions on LCM of 4170 and 4175

1. What is the LCM of 4170 and 4175?

Answer: LCM of 4170 and 4175 is 3481950.

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 4175?

Answer: Factors of 4175 are 1, 5, 25, 167, 835, 4175. There are 6 integers that are factors of 4175. The greatest factor of 4175 is 4175.

4. How to Find the LCM of 4170 and 4175?

Answer:

Least Common Multiple of 4170 and 4175 = 3481950

Step 1: Find the prime factorization of 4170

4170 = 2 x 3 x 5 x 139

Step 2: Find the prime factorization of 4175

4175 = 5 x 5 x 167

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

LCM = 3481950 = 2 x 3 x 5 x 5 x 139 x 167

Step 4: Therefore, the least common multiple of 4170 and 4175 is 3481950.