Least Common Multiple of 9170 and 9174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9170 and 9174 the smallest integer that is 42062790 that is divisible by both numbers.

Least Common Multiple (LCM) of 9170 and 9174 is 42062790.

LCM(9170,9174) = 42062790

LCM of 9170 and 9174

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

LCM of:
and

Least Common Multiple of 9170 and 9174

LCM of 9170 and 9174 is 42062790

Least common multiple can be found by multiplying the highest exponent prime factors of 9170 and 9174. First we will calculate the prime factors of 9170 and 9174.

Prime Factorization of 9170


2 9170
5 4585
7 917
131 131
1

Prime factors of 9170 are 2, 5, 7,131. Prime factorization of 9170 in exponential form is:

9170 = 21×51×71×1311

Prime Factorization of 9174


2 9174
3 4587
11 1529
139 139
1

Prime factors of 9174 are 2, 3, 11,139. Prime factorization of 9174 in exponential form is:

9174 = 21×31×111×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 9170 and 9174.

LCM(9170,9174) = 21×31×51×71×111×1311×1391
LCM(9170,9174) = 42062790

Factors of 9170

List of positive integer factors of 9170 that divides 9170 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170

Factors of 9174

List of positive integer factors of 9174 that divides 9174 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 139, 278, 417, 834, 1529, 3058, 4587, 9174

Least Common Multiple of 9170 and 9174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9170 and 9174, than apply into the LCM equation.

GCF(9170,9174) = 2
LCM(9170,9174) = ( 9170 × 9174) / 2
LCM(9170,9174) = 84125580 / 2
LCM(9170,9174) = 42062790

Properties of LCM 9170 and 9174

(i) The LCM of 9174 and 9170 is associative

LCM of 9170 and 9174 = LCM of 9174 and 9170

Related Least Common Multiples of 9170

Related Least Common Multiples of 9174

Frequently Asked Questions on LCM of 9170 and 9174

1. What is the LCM of 9170 and 9174?

Answer: LCM of 9170 and 9174 is 42062790.

2. What are the Factors of 9170?

Answer: Factors of 9170 are 1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170. There are 16 integers that are factors of 9170. The greatest factor of 9170 is 9170.

3. What are the Factors of 9174?

Answer: Factors of 9174 are 1, 2, 3, 6, 11, 22, 33, 66, 139, 278, 417, 834, 1529, 3058, 4587, 9174. There are 16 integers that are factors of 9174. The greatest factor of 9174 is 9174.

4. How to Find the LCM of 9170 and 9174?

Answer:

Least Common Multiple of 9170 and 9174 = 42062790

Step 1: Find the prime factorization of 9170

9170 = 2 x 5 x 7 x 131

Step 2: Find the prime factorization of 9174

9174 = 2 x 3 x 11 x 139

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

LCM = 42062790 = 2 x 3 x 5 x 7 x 11 x 131 x 139

Step 4: Therefore, the least common multiple of 9170 and 9174 is 42062790.