Least Common Multiple of 9454 and 9458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9454 and 9458 the smallest integer that is 44707966 that is divisible by both numbers.

Least Common Multiple (LCM) of 9454 and 9458 is 44707966.

LCM(9454,9458) = 44707966

LCM of 9454 and 9458

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

LCM of:
and

Least Common Multiple of 9454 and 9458

LCM of 9454 and 9458 is 44707966

Least common multiple can be found by multiplying the highest exponent prime factors of 9454 and 9458. First we will calculate the prime factors of 9454 and 9458.

Prime Factorization of 9454


2 9454
29 4727
163 163
1

Prime factors of 9454 are 2, 29,163. Prime factorization of 9454 in exponential form is:

9454 = 21×291×1631

Prime Factorization of 9458


2 9458
4729 4729
1

Prime factors of 9458 are 2,4729. Prime factorization of 9458 in exponential form is:

9458 = 21×47291

Now multiplying the highest exponent prime factors to calculate the LCM of 9454 and 9458.

LCM(9454,9458) = 21×291×1631×47291
LCM(9454,9458) = 44707966

Factors of 9454

List of positive integer factors of 9454 that divides 9454 without a remainder.

1, 2, 29, 58, 163, 326, 4727, 9454

Factors of 9458

List of positive integer factors of 9458 that divides 9458 without a remainder.

1, 2, 4729, 9458

Least Common Multiple of 9454 and 9458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9454 and 9458, than apply into the LCM equation.

GCF(9454,9458) = 2
LCM(9454,9458) = ( 9454 × 9458) / 2
LCM(9454,9458) = 89415932 / 2
LCM(9454,9458) = 44707966

Properties of LCM 9454 and 9458

(i) The LCM of 9458 and 9454 is associative

LCM of 9454 and 9458 = LCM of 9458 and 9454

Related Least Common Multiples of 9454

Related Least Common Multiples of 9458

Frequently Asked Questions on LCM of 9454 and 9458

1. What is the LCM of 9454 and 9458?

Answer: LCM of 9454 and 9458 is 44707966.

2. What are the Factors of 9454?

Answer: Factors of 9454 are 1, 2, 29, 58, 163, 326, 4727, 9454. There are 8 integers that are factors of 9454. The greatest factor of 9454 is 9454.

3. What are the Factors of 9458?

Answer: Factors of 9458 are 1, 2, 4729, 9458. There are 4 integers that are factors of 9458. The greatest factor of 9458 is 9458.

4. How to Find the LCM of 9454 and 9458?

Answer:

Least Common Multiple of 9454 and 9458 = 44707966

Step 1: Find the prime factorization of 9454

9454 = 2 x 29 x 163

Step 2: Find the prime factorization of 9458

9458 = 2 x 4729

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

LCM = 44707966 = 2 x 29 x 163 x 4729

Step 4: Therefore, the least common multiple of 9454 and 9458 is 44707966.