Least Common Multiple of 8460 and 8466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8460 and 8466 the smallest integer that is 11937060 that is divisible by both numbers.

Least Common Multiple (LCM) of 8460 and 8466 is 11937060.

LCM(8460,8466) = 11937060

LCM of 8460 and 8466

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

LCM of:
and

Least Common Multiple of 8460 and 8466

LCM of 8460 and 8466 is 11937060

Least common multiple can be found by multiplying the highest exponent prime factors of 8460 and 8466. First we will calculate the prime factors of 8460 and 8466.

Prime Factorization of 8460


2 8460
2 4230
3 2115
3 705
5 235
47 47
1

Prime factors of 8460 are 2, 3, 5,47. Prime factorization of 8460 in exponential form is:

8460 = 22×32×51×471

Prime Factorization of 8466


2 8466
3 4233
17 1411
83 83
1

Prime factors of 8466 are 2, 3, 17,83. Prime factorization of 8466 in exponential form is:

8466 = 21×31×171×831

Now multiplying the highest exponent prime factors to calculate the LCM of 8460 and 8466.

LCM(8460,8466) = 22×32×51×171×471×831
LCM(8460,8466) = 11937060

Factors of 8460

List of positive integer factors of 8460 that divides 8460 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 47, 60, 90, 94, 141, 180, 188, 235, 282, 423, 470, 564, 705, 846, 940, 1410, 1692, 2115, 2820, 4230, 8460

Factors of 8466

List of positive integer factors of 8466 that divides 8466 without a remainder.

1, 2, 3, 6, 17, 34, 51, 83, 102, 166, 249, 498, 1411, 2822, 4233, 8466

Least Common Multiple of 8460 and 8466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8460 and 8466, than apply into the LCM equation.

GCF(8460,8466) = 6
LCM(8460,8466) = ( 8460 × 8466) / 6
LCM(8460,8466) = 71622360 / 6
LCM(8460,8466) = 11937060

Properties of LCM 8460 and 8466

(i) The LCM of 8466 and 8460 is associative

LCM of 8460 and 8466 = LCM of 8466 and 8460

Related Least Common Multiples of 8460

Related Least Common Multiples of 8466

Frequently Asked Questions on LCM of 8460 and 8466

1. What is the LCM of 8460 and 8466?

Answer: LCM of 8460 and 8466 is 11937060.

2. What are the Factors of 8460?

Answer: Factors of 8460 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 47, 60, 90, 94, 141, 180, 188, 235, 282, 423, 470, 564, 705, 846, 940, 1410, 1692, 2115, 2820, 4230, 8460. There are 36 integers that are factors of 8460. The greatest factor of 8460 is 8460.

3. What are the Factors of 8466?

Answer: Factors of 8466 are 1, 2, 3, 6, 17, 34, 51, 83, 102, 166, 249, 498, 1411, 2822, 4233, 8466. There are 16 integers that are factors of 8466. The greatest factor of 8466 is 8466.

4. How to Find the LCM of 8460 and 8466?

Answer:

Least Common Multiple of 8460 and 8466 = 11937060

Step 1: Find the prime factorization of 8460

8460 = 2 x 2 x 3 x 3 x 5 x 47

Step 2: Find the prime factorization of 8466

8466 = 2 x 3 x 17 x 83

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

LCM = 11937060 = 2 x 2 x 3 x 3 x 5 x 17 x 47 x 83

Step 4: Therefore, the least common multiple of 8460 and 8466 is 11937060.