Least Common Multiple of 34170 and 34175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 34170 and 34175 the smallest integer that is 233551950 that is divisible by both numbers.

Least Common Multiple (LCM) of 34170 and 34175 is 233551950.

LCM(34170,34175) = 233551950

LCM of 34170 and 34175

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

LCM of:
and

Least Common Multiple of 34170 and 34175

LCM of 34170 and 34175 is 233551950

Least common multiple can be found by multiplying the highest exponent prime factors of 34170 and 34175. First we will calculate the prime factors of 34170 and 34175.

Prime Factorization of 34170


2 34170
3 17085
5 5695
17 1139
67 67
1

Prime factors of 34170 are 2, 3, 5, 17,67. Prime factorization of 34170 in exponential form is:

34170 = 21×31×51×171×671

Prime Factorization of 34175


5 34175
5 6835
1367 1367
1

Prime factors of 34175 are 5,1367. Prime factorization of 34175 in exponential form is:

34175 = 52×13671

Now multiplying the highest exponent prime factors to calculate the LCM of 34170 and 34175.

LCM(34170,34175) = 21×31×52×171×671×13671
LCM(34170,34175) = 233551950

Factors of 34170

List of positive integer factors of 34170 that divides 34170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 67, 85, 102, 134, 170, 201, 255, 335, 402, 510, 670, 1005, 1139, 2010, 2278, 3417, 5695, 6834, 11390, 17085, 34170

Factors of 34175

List of positive integer factors of 34175 that divides 34175 without a remainder.

1, 5, 25, 1367, 6835, 34175

Least Common Multiple of 34170 and 34175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34170 and 34175, than apply into the LCM equation.

GCF(34170,34175) = 5
LCM(34170,34175) = ( 34170 × 34175) / 5
LCM(34170,34175) = 1167759750 / 5
LCM(34170,34175) = 233551950

Properties of LCM 34170 and 34175

(i) The LCM of 34175 and 34170 is associative

LCM of 34170 and 34175 = LCM of 34175 and 34170

Related Least Common Multiples of 34170

Related Least Common Multiples of 34175

Frequently Asked Questions on LCM of 34170 and 34175

1. What is the LCM of 34170 and 34175?

Answer: LCM of 34170 and 34175 is 233551950.

2. What are the Factors of 34170?

Answer: Factors of 34170 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 67, 85, 102, 134, 170, 201, 255, 335, 402, 510, 670, 1005, 1139, 2010, 2278, 3417, 5695, 6834, 11390, 17085, 34170. There are 32 integers that are factors of 34170. The greatest factor of 34170 is 34170.

3. What are the Factors of 34175?

Answer: Factors of 34175 are 1, 5, 25, 1367, 6835, 34175. There are 6 integers that are factors of 34175. The greatest factor of 34175 is 34175.

4. How to Find the LCM of 34170 and 34175?

Answer:

Least Common Multiple of 34170 and 34175 = 233551950

Step 1: Find the prime factorization of 34170

34170 = 2 x 3 x 5 x 17 x 67

Step 2: Find the prime factorization of 34175

34175 = 5 x 5 x 1367

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

LCM = 233551950 = 2 x 3 x 5 x 5 x 17 x 67 x 1367

Step 4: Therefore, the least common multiple of 34170 and 34175 is 233551950.