Least Common Multiple of 9446 and 9453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9446 and 9453 the smallest integer that is 89293038 that is divisible by both numbers.

Least Common Multiple (LCM) of 9446 and 9453 is 89293038.

LCM(9446,9453) = 89293038

LCM of 9446 and 9453

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

LCM of:
and

Least Common Multiple of 9446 and 9453

LCM of 9446 and 9453 is 89293038

Least common multiple can be found by multiplying the highest exponent prime factors of 9446 and 9453. First we will calculate the prime factors of 9446 and 9453.

Prime Factorization of 9446


2 9446
4723 4723
1

Prime factors of 9446 are 2,4723. Prime factorization of 9446 in exponential form is:

9446 = 21×47231

Prime Factorization of 9453


3 9453
23 3151
137 137
1

Prime factors of 9453 are 3, 23,137. Prime factorization of 9453 in exponential form is:

9453 = 31×231×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 9446 and 9453.

LCM(9446,9453) = 21×31×231×1371×47231
LCM(9446,9453) = 89293038

Factors of 9446

List of positive integer factors of 9446 that divides 9446 without a remainder.

1, 2, 4723, 9446

Factors of 9453

List of positive integer factors of 9453 that divides 9453 without a remainder.

1, 3, 23, 69, 137, 411, 3151, 9453

Least Common Multiple of 9446 and 9453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9446 and 9453, than apply into the LCM equation.

GCF(9446,9453) = 1
LCM(9446,9453) = ( 9446 × 9453) / 1
LCM(9446,9453) = 89293038 / 1
LCM(9446,9453) = 89293038

Properties of LCM 9446 and 9453

(i) The LCM of 9453 and 9446 is associative

LCM of 9446 and 9453 = LCM of 9453 and 9446

Related Least Common Multiples of 9446

Related Least Common Multiples of 9453

Frequently Asked Questions on LCM of 9446 and 9453

1. What is the LCM of 9446 and 9453?

Answer: LCM of 9446 and 9453 is 89293038.

2. What are the Factors of 9446?

Answer: Factors of 9446 are 1, 2, 4723, 9446. There are 4 integers that are factors of 9446. The greatest factor of 9446 is 9446.

3. What are the Factors of 9453?

Answer: Factors of 9453 are 1, 3, 23, 69, 137, 411, 3151, 9453. There are 8 integers that are factors of 9453. The greatest factor of 9453 is 9453.

4. How to Find the LCM of 9446 and 9453?

Answer:

Least Common Multiple of 9446 and 9453 = 89293038

Step 1: Find the prime factorization of 9446

9446 = 2 x 4723

Step 2: Find the prime factorization of 9453

9453 = 3 x 23 x 137

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

LCM = 89293038 = 2 x 3 x 23 x 137 x 4723

Step 4: Therefore, the least common multiple of 9446 and 9453 is 89293038.