Least Common Multiple of 8705 and 8712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8705 and 8712 the smallest integer that is 75837960 that is divisible by both numbers.

Least Common Multiple (LCM) of 8705 and 8712 is 75837960.

LCM(8705,8712) = 75837960

LCM of 8705 and 8712

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

LCM of:
and

Least Common Multiple of 8705 and 8712

LCM of 8705 and 8712 is 75837960

Least common multiple can be found by multiplying the highest exponent prime factors of 8705 and 8712. First we will calculate the prime factors of 8705 and 8712.

Prime Factorization of 8705


5 8705
1741 1741
1

Prime factors of 8705 are 5,1741. Prime factorization of 8705 in exponential form is:

8705 = 51×17411

Prime Factorization of 8712


2 8712
2 4356
2 2178
3 1089
3 363
11 121
11 11
1

Prime factors of 8712 are 2, 3,11. Prime factorization of 8712 in exponential form is:

8712 = 23×32×112

Now multiplying the highest exponent prime factors to calculate the LCM of 8705 and 8712.

LCM(8705,8712) = 23×32×51×112×17411
LCM(8705,8712) = 75837960

Factors of 8705

List of positive integer factors of 8705 that divides 8705 without a remainder.

1, 5, 1741, 8705

Factors of 8712

List of positive integer factors of 8712 that divides 8712 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 121, 132, 198, 242, 264, 363, 396, 484, 726, 792, 968, 1089, 1452, 2178, 2904, 4356, 8712

Least Common Multiple of 8705 and 8712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8705 and 8712, than apply into the LCM equation.

GCF(8705,8712) = 1
LCM(8705,8712) = ( 8705 × 8712) / 1
LCM(8705,8712) = 75837960 / 1
LCM(8705,8712) = 75837960

Properties of LCM 8705 and 8712

(i) The LCM of 8712 and 8705 is associative

LCM of 8705 and 8712 = LCM of 8712 and 8705

Related Least Common Multiples of 8705

Related Least Common Multiples of 8712

Frequently Asked Questions on LCM of 8705 and 8712

1. What is the LCM of 8705 and 8712?

Answer: LCM of 8705 and 8712 is 75837960.

2. What are the Factors of 8705?

Answer: Factors of 8705 are 1, 5, 1741, 8705. There are 4 integers that are factors of 8705. The greatest factor of 8705 is 8705.

3. What are the Factors of 8712?

Answer: Factors of 8712 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 121, 132, 198, 242, 264, 363, 396, 484, 726, 792, 968, 1089, 1452, 2178, 2904, 4356, 8712. There are 36 integers that are factors of 8712. The greatest factor of 8712 is 8712.

4. How to Find the LCM of 8705 and 8712?

Answer:

Least Common Multiple of 8705 and 8712 = 75837960

Step 1: Find the prime factorization of 8705

8705 = 5 x 1741

Step 2: Find the prime factorization of 8712

8712 = 2 x 2 x 2 x 3 x 3 x 11 x 11

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

LCM = 75837960 = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 11 x 1741

Step 4: Therefore, the least common multiple of 8705 and 8712 is 75837960.