Least Common Multiple of 8460 and 8467

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 8467 the smallest integer that is 71630820 that is divisible by both numbers.

Least Common Multiple (LCM) of 8460 and 8467 is 71630820.

LCM(8460,8467) = 71630820

LCM of 8460 and 8467

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

LCM of:
and

Least Common Multiple of 8460 and 8467

LCM of 8460 and 8467 is 71630820

Least common multiple can be found by multiplying the highest exponent prime factors of 8460 and 8467. First we will calculate the prime factors of 8460 and 8467.

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 8467


8467 8467
1

Prime factors of 8467 are 8467. Prime factorization of 8467 in exponential form is:

8467 = 84671

Now multiplying the highest exponent prime factors to calculate the LCM of 8460 and 8467.

LCM(8460,8467) = 22×32×51×471×84671
LCM(8460,8467) = 71630820

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 8467

List of positive integer factors of 8467 that divides 8467 without a remainder.

1, 8467

Least Common Multiple of 8460 and 8467 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 8467, than apply into the LCM equation.

GCF(8460,8467) = 1
LCM(8460,8467) = ( 8460 × 8467) / 1
LCM(8460,8467) = 71630820 / 1
LCM(8460,8467) = 71630820

Properties of LCM 8460 and 8467

(i) The LCM of 8467 and 8460 is associative

LCM of 8460 and 8467 = LCM of 8467 and 8460

Related Least Common Multiples of 8460

Related Least Common Multiples of 8467

Frequently Asked Questions on LCM of 8460 and 8467

1. What is the LCM of 8460 and 8467?

Answer: LCM of 8460 and 8467 is 71630820.

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 8467?

Answer: Factors of 8467 are 1, 8467. There are 2 integers that are factors of 8467. The greatest factor of 8467 is 8467.

4. How to Find the LCM of 8460 and 8467?

Answer:

Least Common Multiple of 8460 and 8467 = 71630820

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 8467

8467 = 8467

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

LCM = 71630820 = 2 x 2 x 3 x 3 x 5 x 47 x 8467

Step 4: Therefore, the least common multiple of 8460 and 8467 is 71630820.