Least Common Multiple of 9174 and 9182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9174 and 9182 the smallest integer that is 42117834 that is divisible by both numbers.

Least Common Multiple (LCM) of 9174 and 9182 is 42117834.

LCM(9174,9182) = 42117834

LCM of 9174 and 9182

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

LCM of:
and

Least Common Multiple of 9174 and 9182

LCM of 9174 and 9182 is 42117834

Least common multiple can be found by multiplying the highest exponent prime factors of 9174 and 9182. First we will calculate the prime factors of 9174 and 9182.

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

Prime Factorization of 9182


2 9182
4591 4591
1

Prime factors of 9182 are 2,4591. Prime factorization of 9182 in exponential form is:

9182 = 21×45911

Now multiplying the highest exponent prime factors to calculate the LCM of 9174 and 9182.

LCM(9174,9182) = 21×31×111×1391×45911
LCM(9174,9182) = 42117834

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

Factors of 9182

List of positive integer factors of 9182 that divides 9182 without a remainder.

1, 2, 4591, 9182

Least Common Multiple of 9174 and 9182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9174 and 9182, than apply into the LCM equation.

GCF(9174,9182) = 2
LCM(9174,9182) = ( 9174 × 9182) / 2
LCM(9174,9182) = 84235668 / 2
LCM(9174,9182) = 42117834

Properties of LCM 9174 and 9182

(i) The LCM of 9182 and 9174 is associative

LCM of 9174 and 9182 = LCM of 9182 and 9174

Related Least Common Multiples of 9174

Related Least Common Multiples of 9182

Frequently Asked Questions on LCM of 9174 and 9182

1. What is the LCM of 9174 and 9182?

Answer: LCM of 9174 and 9182 is 42117834.

2. 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.

3. What are the Factors of 9182?

Answer: Factors of 9182 are 1, 2, 4591, 9182. There are 4 integers that are factors of 9182. The greatest factor of 9182 is 9182.

4. How to Find the LCM of 9174 and 9182?

Answer:

Least Common Multiple of 9174 and 9182 = 42117834

Step 1: Find the prime factorization of 9174

9174 = 2 x 3 x 11 x 139

Step 2: Find the prime factorization of 9182

9182 = 2 x 4591

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

LCM = 42117834 = 2 x 3 x 11 x 139 x 4591

Step 4: Therefore, the least common multiple of 9174 and 9182 is 42117834.