Least Common Multiple of 9046 and 9050

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 9050 the smallest integer that is 40933150 that is divisible by both numbers.

Least Common Multiple (LCM) of 9046 and 9050 is 40933150.

LCM(9046,9050) = 40933150

LCM of 9046 and 9050

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

LCM of:
and

Least Common Multiple of 9046 and 9050

LCM of 9046 and 9050 is 40933150

Least common multiple can be found by multiplying the highest exponent prime factors of 9046 and 9050. First we will calculate the prime factors of 9046 and 9050.

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 9050


2 9050
5 4525
5 905
181 181
1

Prime factors of 9050 are 2, 5,181. Prime factorization of 9050 in exponential form is:

9050 = 21×52×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 9046 and 9050.

LCM(9046,9050) = 21×52×1811×45231
LCM(9046,9050) = 40933150

Factors of 9046

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

1, 2, 4523, 9046

Factors of 9050

List of positive integer factors of 9050 that divides 9050 without a remainder.

1, 2, 5, 10, 25, 50, 181, 362, 905, 1810, 4525, 9050

Least Common Multiple of 9046 and 9050 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 9050, than apply into the LCM equation.

GCF(9046,9050) = 2
LCM(9046,9050) = ( 9046 × 9050) / 2
LCM(9046,9050) = 81866300 / 2
LCM(9046,9050) = 40933150

Properties of LCM 9046 and 9050

(i) The LCM of 9050 and 9046 is associative

LCM of 9046 and 9050 = LCM of 9050 and 9046

Related Least Common Multiples of 9046

Related Least Common Multiples of 9050

Frequently Asked Questions on LCM of 9046 and 9050

1. What is the LCM of 9046 and 9050?

Answer: LCM of 9046 and 9050 is 40933150.

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 9050?

Answer: Factors of 9050 are 1, 2, 5, 10, 25, 50, 181, 362, 905, 1810, 4525, 9050. There are 12 integers that are factors of 9050. The greatest factor of 9050 is 9050.

4. How to Find the LCM of 9046 and 9050?

Answer:

Least Common Multiple of 9046 and 9050 = 40933150

Step 1: Find the prime factorization of 9046

9046 = 2 x 4523

Step 2: Find the prime factorization of 9050

9050 = 2 x 5 x 5 x 181

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

LCM = 40933150 = 2 x 5 x 5 x 181 x 4523

Step 4: Therefore, the least common multiple of 9046 and 9050 is 40933150.