Least Common Multiple of 34170 and 34174

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 34174 the smallest integer that is 583862790 that is divisible by both numbers.

Least Common Multiple (LCM) of 34170 and 34174 is 583862790.

LCM(34170,34174) = 583862790

LCM of 34170 and 34174

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

LCM of:
and

Least Common Multiple of 34170 and 34174

LCM of 34170 and 34174 is 583862790

Least common multiple can be found by multiplying the highest exponent prime factors of 34170 and 34174. First we will calculate the prime factors of 34170 and 34174.

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 34174


2 34174
7 17087
2441 2441
1

Prime factors of 34174 are 2, 7,2441. Prime factorization of 34174 in exponential form is:

34174 = 21×71×24411

Now multiplying the highest exponent prime factors to calculate the LCM of 34170 and 34174.

LCM(34170,34174) = 21×31×51×71×171×671×24411
LCM(34170,34174) = 583862790

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 34174

List of positive integer factors of 34174 that divides 34174 without a remainder.

1, 2, 7, 14, 2441, 4882, 17087, 34174

Least Common Multiple of 34170 and 34174 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 34174, than apply into the LCM equation.

GCF(34170,34174) = 2
LCM(34170,34174) = ( 34170 × 34174) / 2
LCM(34170,34174) = 1167725580 / 2
LCM(34170,34174) = 583862790

Properties of LCM 34170 and 34174

(i) The LCM of 34174 and 34170 is associative

LCM of 34170 and 34174 = LCM of 34174 and 34170

Related Least Common Multiples of 34170

Related Least Common Multiples of 34174

Frequently Asked Questions on LCM of 34170 and 34174

1. What is the LCM of 34170 and 34174?

Answer: LCM of 34170 and 34174 is 583862790.

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 34174?

Answer: Factors of 34174 are 1, 2, 7, 14, 2441, 4882, 17087, 34174. There are 8 integers that are factors of 34174. The greatest factor of 34174 is 34174.

4. How to Find the LCM of 34170 and 34174?

Answer:

Least Common Multiple of 34170 and 34174 = 583862790

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 34174

34174 = 2 x 7 x 2441

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

LCM = 583862790 = 2 x 3 x 5 x 7 x 17 x 67 x 2441

Step 4: Therefore, the least common multiple of 34170 and 34174 is 583862790.