Least Common Multiple of 9058 and 9062

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9058 and 9062 the smallest integer that is 41041798 that is divisible by both numbers.

Least Common Multiple (LCM) of 9058 and 9062 is 41041798.

LCM(9058,9062) = 41041798

LCM of 9058 and 9062

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

LCM of:
and

Least Common Multiple of 9058 and 9062

LCM of 9058 and 9062 is 41041798

Least common multiple can be found by multiplying the highest exponent prime factors of 9058 and 9062. First we will calculate the prime factors of 9058 and 9062.

Prime Factorization of 9058


2 9058
7 4529
647 647
1

Prime factors of 9058 are 2, 7,647. Prime factorization of 9058 in exponential form is:

9058 = 21×71×6471

Prime Factorization of 9062


2 9062
23 4531
197 197
1

Prime factors of 9062 are 2, 23,197. Prime factorization of 9062 in exponential form is:

9062 = 21×231×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 9058 and 9062.

LCM(9058,9062) = 21×71×231×1971×6471
LCM(9058,9062) = 41041798

Factors of 9058

List of positive integer factors of 9058 that divides 9058 without a remainder.

1, 2, 7, 14, 647, 1294, 4529, 9058

Factors of 9062

List of positive integer factors of 9062 that divides 9062 without a remainder.

1, 2, 23, 46, 197, 394, 4531, 9062

Least Common Multiple of 9058 and 9062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9058 and 9062, than apply into the LCM equation.

GCF(9058,9062) = 2
LCM(9058,9062) = ( 9058 × 9062) / 2
LCM(9058,9062) = 82083596 / 2
LCM(9058,9062) = 41041798

Properties of LCM 9058 and 9062

(i) The LCM of 9062 and 9058 is associative

LCM of 9058 and 9062 = LCM of 9062 and 9058

Related Least Common Multiples of 9058

Related Least Common Multiples of 9062

Frequently Asked Questions on LCM of 9058 and 9062

1. What is the LCM of 9058 and 9062?

Answer: LCM of 9058 and 9062 is 41041798.

2. What are the Factors of 9058?

Answer: Factors of 9058 are 1, 2, 7, 14, 647, 1294, 4529, 9058. There are 8 integers that are factors of 9058. The greatest factor of 9058 is 9058.

3. What are the Factors of 9062?

Answer: Factors of 9062 are 1, 2, 23, 46, 197, 394, 4531, 9062. There are 8 integers that are factors of 9062. The greatest factor of 9062 is 9062.

4. How to Find the LCM of 9058 and 9062?

Answer:

Least Common Multiple of 9058 and 9062 = 41041798

Step 1: Find the prime factorization of 9058

9058 = 2 x 7 x 647

Step 2: Find the prime factorization of 9062

9062 = 2 x 23 x 197

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

LCM = 41041798 = 2 x 7 x 23 x 197 x 647

Step 4: Therefore, the least common multiple of 9058 and 9062 is 41041798.