Least Common Multiple of 8460 and 8464

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 8464 the smallest integer that is 17901360 that is divisible by both numbers.

Least Common Multiple (LCM) of 8460 and 8464 is 17901360.

LCM(8460,8464) = 17901360

LCM of 8460 and 8464

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

LCM of:
and

Least Common Multiple of 8460 and 8464

LCM of 8460 and 8464 is 17901360

Least common multiple can be found by multiplying the highest exponent prime factors of 8460 and 8464. First we will calculate the prime factors of 8460 and 8464.

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 8464


2 8464
2 4232
2 2116
2 1058
23 529
23 23
1

Prime factors of 8464 are 2,23. Prime factorization of 8464 in exponential form is:

8464 = 24×232

Now multiplying the highest exponent prime factors to calculate the LCM of 8460 and 8464.

LCM(8460,8464) = 24×32×51×232×471
LCM(8460,8464) = 17901360

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 8464

List of positive integer factors of 8464 that divides 8464 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368, 529, 1058, 2116, 4232, 8464

Least Common Multiple of 8460 and 8464 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 8464, than apply into the LCM equation.

GCF(8460,8464) = 4
LCM(8460,8464) = ( 8460 × 8464) / 4
LCM(8460,8464) = 71605440 / 4
LCM(8460,8464) = 17901360

Properties of LCM 8460 and 8464

(i) The LCM of 8464 and 8460 is associative

LCM of 8460 and 8464 = LCM of 8464 and 8460

Related Least Common Multiples of 8460

Related Least Common Multiples of 8464

Frequently Asked Questions on LCM of 8460 and 8464

1. What is the LCM of 8460 and 8464?

Answer: LCM of 8460 and 8464 is 17901360.

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 8464?

Answer: Factors of 8464 are 1, 2, 4, 8, 16, 23, 46, 92, 184, 368, 529, 1058, 2116, 4232, 8464. There are 15 integers that are factors of 8464. The greatest factor of 8464 is 8464.

4. How to Find the LCM of 8460 and 8464?

Answer:

Least Common Multiple of 8460 and 8464 = 17901360

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 8464

8464 = 2 x 2 x 2 x 2 x 23 x 23

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

LCM = 17901360 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 23 x 23 x 47

Step 4: Therefore, the least common multiple of 8460 and 8464 is 17901360.