Least Common Multiple of 9154 and 9162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9154 and 9162 the smallest integer that is 41934474 that is divisible by both numbers.

Least Common Multiple (LCM) of 9154 and 9162 is 41934474.

LCM(9154,9162) = 41934474

LCM of 9154 and 9162

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

LCM of:
and

Least Common Multiple of 9154 and 9162

LCM of 9154 and 9162 is 41934474

Least common multiple can be found by multiplying the highest exponent prime factors of 9154 and 9162. First we will calculate the prime factors of 9154 and 9162.

Prime Factorization of 9154


2 9154
23 4577
199 199
1

Prime factors of 9154 are 2, 23,199. Prime factorization of 9154 in exponential form is:

9154 = 21×231×1991

Prime Factorization of 9162


2 9162
3 4581
3 1527
509 509
1

Prime factors of 9162 are 2, 3,509. Prime factorization of 9162 in exponential form is:

9162 = 21×32×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 9154 and 9162.

LCM(9154,9162) = 21×32×231×1991×5091
LCM(9154,9162) = 41934474

Factors of 9154

List of positive integer factors of 9154 that divides 9154 without a remainder.

1, 2, 23, 46, 199, 398, 4577, 9154

Factors of 9162

List of positive integer factors of 9162 that divides 9162 without a remainder.

1, 2, 3, 6, 9, 18, 509, 1018, 1527, 3054, 4581, 9162

Least Common Multiple of 9154 and 9162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9154 and 9162, than apply into the LCM equation.

GCF(9154,9162) = 2
LCM(9154,9162) = ( 9154 × 9162) / 2
LCM(9154,9162) = 83868948 / 2
LCM(9154,9162) = 41934474

Properties of LCM 9154 and 9162

(i) The LCM of 9162 and 9154 is associative

LCM of 9154 and 9162 = LCM of 9162 and 9154

Related Least Common Multiples of 9154

Related Least Common Multiples of 9162

Frequently Asked Questions on LCM of 9154 and 9162

1. What is the LCM of 9154 and 9162?

Answer: LCM of 9154 and 9162 is 41934474.

2. What are the Factors of 9154?

Answer: Factors of 9154 are 1, 2, 23, 46, 199, 398, 4577, 9154. There are 8 integers that are factors of 9154. The greatest factor of 9154 is 9154.

3. What are the Factors of 9162?

Answer: Factors of 9162 are 1, 2, 3, 6, 9, 18, 509, 1018, 1527, 3054, 4581, 9162. There are 12 integers that are factors of 9162. The greatest factor of 9162 is 9162.

4. How to Find the LCM of 9154 and 9162?

Answer:

Least Common Multiple of 9154 and 9162 = 41934474

Step 1: Find the prime factorization of 9154

9154 = 2 x 23 x 199

Step 2: Find the prime factorization of 9162

9162 = 2 x 3 x 3 x 509

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

LCM = 41934474 = 2 x 3 x 3 x 23 x 199 x 509

Step 4: Therefore, the least common multiple of 9154 and 9162 is 41934474.