Least Common Multiple of 9043 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 9043 and 9050 the smallest integer that is 81839150 that is divisible by both numbers.

Least Common Multiple (LCM) of 9043 and 9050 is 81839150.

LCM(9043,9050) = 81839150

LCM of 9043 and 9050

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

LCM of:
and

Least Common Multiple of 9043 and 9050

LCM of 9043 and 9050 is 81839150

Least common multiple can be found by multiplying the highest exponent prime factors of 9043 and 9050. First we will calculate the prime factors of 9043 and 9050.

Prime Factorization of 9043


9043 9043
1

Prime factors of 9043 are 9043. Prime factorization of 9043 in exponential form is:

9043 = 90431

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 9043 and 9050.

LCM(9043,9050) = 21×52×1811×90431
LCM(9043,9050) = 81839150

Factors of 9043

List of positive integer factors of 9043 that divides 9043 without a remainder.

1, 9043

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 9043 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 9043 and 9050, than apply into the LCM equation.

GCF(9043,9050) = 1
LCM(9043,9050) = ( 9043 × 9050) / 1
LCM(9043,9050) = 81839150 / 1
LCM(9043,9050) = 81839150

Properties of LCM 9043 and 9050

(i) The LCM of 9050 and 9043 is associative

LCM of 9043 and 9050 = LCM of 9050 and 9043

Related Least Common Multiples of 9043

Related Least Common Multiples of 9050

Frequently Asked Questions on LCM of 9043 and 9050

1. What is the LCM of 9043 and 9050?

Answer: LCM of 9043 and 9050 is 81839150.

2. What are the Factors of 9043?

Answer: Factors of 9043 are 1, 9043. There are 2 integers that are factors of 9043. The greatest factor of 9043 is 9043.

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 9043 and 9050?

Answer:

Least Common Multiple of 9043 and 9050 = 81839150

Step 1: Find the prime factorization of 9043

9043 = 9043

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 = 81839150 = 2 x 5 x 5 x 181 x 9043

Step 4: Therefore, the least common multiple of 9043 and 9050 is 81839150.