Least Common Multiple of 9460 and 9464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9460 and 9464 the smallest integer that is 22382360 that is divisible by both numbers.

Least Common Multiple (LCM) of 9460 and 9464 is 22382360.

LCM(9460,9464) = 22382360

LCM of 9460 and 9464

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

LCM of:
and

Least Common Multiple of 9460 and 9464

LCM of 9460 and 9464 is 22382360

Least common multiple can be found by multiplying the highest exponent prime factors of 9460 and 9464. First we will calculate the prime factors of 9460 and 9464.

Prime Factorization of 9460


2 9460
2 4730
5 2365
11 473
43 43
1

Prime factors of 9460 are 2, 5, 11,43. Prime factorization of 9460 in exponential form is:

9460 = 22×51×111×431

Prime Factorization of 9464


2 9464
2 4732
2 2366
7 1183
13 169
13 13
1

Prime factors of 9464 are 2, 7,13. Prime factorization of 9464 in exponential form is:

9464 = 23×71×132

Now multiplying the highest exponent prime factors to calculate the LCM of 9460 and 9464.

LCM(9460,9464) = 23×51×71×111×132×431
LCM(9460,9464) = 22382360

Factors of 9460

List of positive integer factors of 9460 that divides 9460 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 43, 44, 55, 86, 110, 172, 215, 220, 430, 473, 860, 946, 1892, 2365, 4730, 9460

Factors of 9464

List of positive integer factors of 9464 that divides 9464 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338, 364, 676, 728, 1183, 1352, 2366, 4732, 9464

Least Common Multiple of 9460 and 9464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9460 and 9464, than apply into the LCM equation.

GCF(9460,9464) = 4
LCM(9460,9464) = ( 9460 × 9464) / 4
LCM(9460,9464) = 89529440 / 4
LCM(9460,9464) = 22382360

Properties of LCM 9460 and 9464

(i) The LCM of 9464 and 9460 is associative

LCM of 9460 and 9464 = LCM of 9464 and 9460

Related Least Common Multiples of 9460

Related Least Common Multiples of 9464

Frequently Asked Questions on LCM of 9460 and 9464

1. What is the LCM of 9460 and 9464?

Answer: LCM of 9460 and 9464 is 22382360.

2. What are the Factors of 9460?

Answer: Factors of 9460 are 1, 2, 4, 5, 10, 11, 20, 22, 43, 44, 55, 86, 110, 172, 215, 220, 430, 473, 860, 946, 1892, 2365, 4730, 9460. There are 24 integers that are factors of 9460. The greatest factor of 9460 is 9460.

3. What are the Factors of 9464?

Answer: Factors of 9464 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338, 364, 676, 728, 1183, 1352, 2366, 4732, 9464. There are 24 integers that are factors of 9464. The greatest factor of 9464 is 9464.

4. How to Find the LCM of 9460 and 9464?

Answer:

Least Common Multiple of 9460 and 9464 = 22382360

Step 1: Find the prime factorization of 9460

9460 = 2 x 2 x 5 x 11 x 43

Step 2: Find the prime factorization of 9464

9464 = 2 x 2 x 2 x 7 x 13 x 13

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

LCM = 22382360 = 2 x 2 x 2 x 5 x 7 x 11 x 13 x 13 x 43

Step 4: Therefore, the least common multiple of 9460 and 9464 is 22382360.