Least Common Multiple of 8460 and 8461

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 8461 the smallest integer that is 71580060 that is divisible by both numbers.

Least Common Multiple (LCM) of 8460 and 8461 is 71580060.

LCM(8460,8461) = 71580060

LCM of 8460 and 8461

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

LCM of:
and

Least Common Multiple of 8460 and 8461

LCM of 8460 and 8461 is 71580060

Least common multiple can be found by multiplying the highest exponent prime factors of 8460 and 8461. First we will calculate the prime factors of 8460 and 8461.

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 8461


8461 8461
1

Prime factors of 8461 are 8461. Prime factorization of 8461 in exponential form is:

8461 = 84611

Now multiplying the highest exponent prime factors to calculate the LCM of 8460 and 8461.

LCM(8460,8461) = 22×32×51×471×84611
LCM(8460,8461) = 71580060

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 8461

List of positive integer factors of 8461 that divides 8461 without a remainder.

1, 8461

Least Common Multiple of 8460 and 8461 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 8461, than apply into the LCM equation.

GCF(8460,8461) = 1
LCM(8460,8461) = ( 8460 × 8461) / 1
LCM(8460,8461) = 71580060 / 1
LCM(8460,8461) = 71580060

Properties of LCM 8460 and 8461

(i) The LCM of 8461 and 8460 is associative

LCM of 8460 and 8461 = LCM of 8461 and 8460

Related Least Common Multiples of 8460

Related Least Common Multiples of 8461

Frequently Asked Questions on LCM of 8460 and 8461

1. What is the LCM of 8460 and 8461?

Answer: LCM of 8460 and 8461 is 71580060.

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 8461?

Answer: Factors of 8461 are 1, 8461. There are 2 integers that are factors of 8461. The greatest factor of 8461 is 8461.

4. How to Find the LCM of 8460 and 8461?

Answer:

Least Common Multiple of 8460 and 8461 = 71580060

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 8461

8461 = 8461

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

LCM = 71580060 = 2 x 2 x 3 x 3 x 5 x 47 x 8461

Step 4: Therefore, the least common multiple of 8460 and 8461 is 71580060.