Least Common Multiple of 9460 and 9468

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 9468 the smallest integer that is 22391820 that is divisible by both numbers.

Least Common Multiple (LCM) of 9460 and 9468 is 22391820.

LCM(9460,9468) = 22391820

LCM of 9460 and 9468

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

LCM of:
and

Least Common Multiple of 9460 and 9468

LCM of 9460 and 9468 is 22391820

Least common multiple can be found by multiplying the highest exponent prime factors of 9460 and 9468. First we will calculate the prime factors of 9460 and 9468.

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 9468


2 9468
2 4734
3 2367
3 789
263 263
1

Prime factors of 9468 are 2, 3,263. Prime factorization of 9468 in exponential form is:

9468 = 22×32×2631

Now multiplying the highest exponent prime factors to calculate the LCM of 9460 and 9468.

LCM(9460,9468) = 22×32×51×111×431×2631
LCM(9460,9468) = 22391820

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 9468

List of positive integer factors of 9468 that divides 9468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 263, 526, 789, 1052, 1578, 2367, 3156, 4734, 9468

Least Common Multiple of 9460 and 9468 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 9468, than apply into the LCM equation.

GCF(9460,9468) = 4
LCM(9460,9468) = ( 9460 × 9468) / 4
LCM(9460,9468) = 89567280 / 4
LCM(9460,9468) = 22391820

Properties of LCM 9460 and 9468

(i) The LCM of 9468 and 9460 is associative

LCM of 9460 and 9468 = LCM of 9468 and 9460

Related Least Common Multiples of 9460

Related Least Common Multiples of 9468

Frequently Asked Questions on LCM of 9460 and 9468

1. What is the LCM of 9460 and 9468?

Answer: LCM of 9460 and 9468 is 22391820.

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 9468?

Answer: Factors of 9468 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 263, 526, 789, 1052, 1578, 2367, 3156, 4734, 9468. There are 18 integers that are factors of 9468. The greatest factor of 9468 is 9468.

4. How to Find the LCM of 9460 and 9468?

Answer:

Least Common Multiple of 9460 and 9468 = 22391820

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 9468

9468 = 2 x 2 x 3 x 3 x 263

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

LCM = 22391820 = 2 x 2 x 3 x 3 x 5 x 11 x 43 x 263

Step 4: Therefore, the least common multiple of 9460 and 9468 is 22391820.