Least Common Multiple of 9446 and 9451

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 9451 the smallest integer that is 89274146 that is divisible by both numbers.

Least Common Multiple (LCM) of 9446 and 9451 is 89274146.

LCM(9446,9451) = 89274146

LCM of 9446 and 9451

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

LCM of:
and

Least Common Multiple of 9446 and 9451

LCM of 9446 and 9451 is 89274146

Least common multiple can be found by multiplying the highest exponent prime factors of 9446 and 9451. First we will calculate the prime factors of 9446 and 9451.

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 9451


13 9451
727 727
1

Prime factors of 9451 are 13,727. Prime factorization of 9451 in exponential form is:

9451 = 131×7271

Now multiplying the highest exponent prime factors to calculate the LCM of 9446 and 9451.

LCM(9446,9451) = 21×131×7271×47231
LCM(9446,9451) = 89274146

Factors of 9446

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

1, 2, 4723, 9446

Factors of 9451

List of positive integer factors of 9451 that divides 9451 without a remainder.

1, 13, 727, 9451

Least Common Multiple of 9446 and 9451 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 9451, than apply into the LCM equation.

GCF(9446,9451) = 1
LCM(9446,9451) = ( 9446 × 9451) / 1
LCM(9446,9451) = 89274146 / 1
LCM(9446,9451) = 89274146

Properties of LCM 9446 and 9451

(i) The LCM of 9451 and 9446 is associative

LCM of 9446 and 9451 = LCM of 9451 and 9446

Related Least Common Multiples of 9446

Related Least Common Multiples of 9451

Frequently Asked Questions on LCM of 9446 and 9451

1. What is the LCM of 9446 and 9451?

Answer: LCM of 9446 and 9451 is 89274146.

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 9451?

Answer: Factors of 9451 are 1, 13, 727, 9451. There are 4 integers that are factors of 9451. The greatest factor of 9451 is 9451.

4. How to Find the LCM of 9446 and 9451?

Answer:

Least Common Multiple of 9446 and 9451 = 89274146

Step 1: Find the prime factorization of 9446

9446 = 2 x 4723

Step 2: Find the prime factorization of 9451

9451 = 13 x 727

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

LCM = 89274146 = 2 x 13 x 727 x 4723

Step 4: Therefore, the least common multiple of 9446 and 9451 is 89274146.