Least Common Multiple of 9046 and 9051

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9046 and 9051 the smallest integer that is 81875346 that is divisible by both numbers.

Least Common Multiple (LCM) of 9046 and 9051 is 81875346.

LCM(9046,9051) = 81875346

LCM of 9046 and 9051

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

LCM of:
and

Least Common Multiple of 9046 and 9051

LCM of 9046 and 9051 is 81875346

Least common multiple can be found by multiplying the highest exponent prime factors of 9046 and 9051. First we will calculate the prime factors of 9046 and 9051.

Prime Factorization of 9046


2 9046
4523 4523
1

Prime factors of 9046 are 2,4523. Prime factorization of 9046 in exponential form is:

9046 = 21×45231

Prime Factorization of 9051


3 9051
7 3017
431 431
1

Prime factors of 9051 are 3, 7,431. Prime factorization of 9051 in exponential form is:

9051 = 31×71×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 9046 and 9051.

LCM(9046,9051) = 21×31×71×4311×45231
LCM(9046,9051) = 81875346

Factors of 9046

List of positive integer factors of 9046 that divides 9046 without a remainder.

1, 2, 4523, 9046

Factors of 9051

List of positive integer factors of 9051 that divides 9051 without a remainder.

1, 3, 7, 21, 431, 1293, 3017, 9051

Least Common Multiple of 9046 and 9051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9046 and 9051, than apply into the LCM equation.

GCF(9046,9051) = 1
LCM(9046,9051) = ( 9046 × 9051) / 1
LCM(9046,9051) = 81875346 / 1
LCM(9046,9051) = 81875346

Properties of LCM 9046 and 9051

(i) The LCM of 9051 and 9046 is associative

LCM of 9046 and 9051 = LCM of 9051 and 9046

Related Least Common Multiples of 9046

Related Least Common Multiples of 9051

Frequently Asked Questions on LCM of 9046 and 9051

1. What is the LCM of 9046 and 9051?

Answer: LCM of 9046 and 9051 is 81875346.

2. What are the Factors of 9046?

Answer: Factors of 9046 are 1, 2, 4523, 9046. There are 4 integers that are factors of 9046. The greatest factor of 9046 is 9046.

3. What are the Factors of 9051?

Answer: Factors of 9051 are 1, 3, 7, 21, 431, 1293, 3017, 9051. There are 8 integers that are factors of 9051. The greatest factor of 9051 is 9051.

4. How to Find the LCM of 9046 and 9051?

Answer:

Least Common Multiple of 9046 and 9051 = 81875346

Step 1: Find the prime factorization of 9046

9046 = 2 x 4523

Step 2: Find the prime factorization of 9051

9051 = 3 x 7 x 431

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

LCM = 81875346 = 2 x 3 x 7 x 431 x 4523

Step 4: Therefore, the least common multiple of 9046 and 9051 is 81875346.