Least Common Multiple of 9154 and 9160

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 9160 the smallest integer that is 41925320 that is divisible by both numbers.

Least Common Multiple (LCM) of 9154 and 9160 is 41925320.

LCM(9154,9160) = 41925320

LCM of 9154 and 9160

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

LCM of:
and

Least Common Multiple of 9154 and 9160

LCM of 9154 and 9160 is 41925320

Least common multiple can be found by multiplying the highest exponent prime factors of 9154 and 9160. First we will calculate the prime factors of 9154 and 9160.

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 9160


2 9160
2 4580
2 2290
5 1145
229 229
1

Prime factors of 9160 are 2, 5,229. Prime factorization of 9160 in exponential form is:

9160 = 23×51×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 9154 and 9160.

LCM(9154,9160) = 23×51×231×1991×2291
LCM(9154,9160) = 41925320

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 9160

List of positive integer factors of 9160 that divides 9160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 229, 458, 916, 1145, 1832, 2290, 4580, 9160

Least Common Multiple of 9154 and 9160 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 9160, than apply into the LCM equation.

GCF(9154,9160) = 2
LCM(9154,9160) = ( 9154 × 9160) / 2
LCM(9154,9160) = 83850640 / 2
LCM(9154,9160) = 41925320

Properties of LCM 9154 and 9160

(i) The LCM of 9160 and 9154 is associative

LCM of 9154 and 9160 = LCM of 9160 and 9154

Related Least Common Multiples of 9154

Related Least Common Multiples of 9160

Frequently Asked Questions on LCM of 9154 and 9160

1. What is the LCM of 9154 and 9160?

Answer: LCM of 9154 and 9160 is 41925320.

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 9160?

Answer: Factors of 9160 are 1, 2, 4, 5, 8, 10, 20, 40, 229, 458, 916, 1145, 1832, 2290, 4580, 9160. There are 16 integers that are factors of 9160. The greatest factor of 9160 is 9160.

4. How to Find the LCM of 9154 and 9160?

Answer:

Least Common Multiple of 9154 and 9160 = 41925320

Step 1: Find the prime factorization of 9154

9154 = 2 x 23 x 199

Step 2: Find the prime factorization of 9160

9160 = 2 x 2 x 2 x 5 x 229

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

LCM = 41925320 = 2 x 2 x 2 x 5 x 23 x 199 x 229

Step 4: Therefore, the least common multiple of 9154 and 9160 is 41925320.