Least Common Multiple of 8606 and 8607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8606 and 8607 the smallest integer that is 74071842 that is divisible by both numbers.

Least Common Multiple (LCM) of 8606 and 8607 is 74071842.

LCM(8606,8607) = 74071842

LCM of 8606 and 8607

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

LCM of:
and

Least Common Multiple of 8606 and 8607

LCM of 8606 and 8607 is 74071842

Least common multiple can be found by multiplying the highest exponent prime factors of 8606 and 8607. First we will calculate the prime factors of 8606 and 8607.

Prime Factorization of 8606


2 8606
13 4303
331 331
1

Prime factors of 8606 are 2, 13,331. Prime factorization of 8606 in exponential form is:

8606 = 21×131×3311

Prime Factorization of 8607


3 8607
19 2869
151 151
1

Prime factors of 8607 are 3, 19,151. Prime factorization of 8607 in exponential form is:

8607 = 31×191×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 8606 and 8607.

LCM(8606,8607) = 21×31×131×191×1511×3311
LCM(8606,8607) = 74071842

Factors of 8606

List of positive integer factors of 8606 that divides 8606 without a remainder.

1, 2, 13, 26, 331, 662, 4303, 8606

Factors of 8607

List of positive integer factors of 8607 that divides 8607 without a remainder.

1, 3, 19, 57, 151, 453, 2869, 8607

Least Common Multiple of 8606 and 8607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8606 and 8607, than apply into the LCM equation.

GCF(8606,8607) = 1
LCM(8606,8607) = ( 8606 × 8607) / 1
LCM(8606,8607) = 74071842 / 1
LCM(8606,8607) = 74071842

Properties of LCM 8606 and 8607

(i) The LCM of 8607 and 8606 is associative

LCM of 8606 and 8607 = LCM of 8607 and 8606

Related Least Common Multiples of 8606

Related Least Common Multiples of 8607

Frequently Asked Questions on LCM of 8606 and 8607

1. What is the LCM of 8606 and 8607?

Answer: LCM of 8606 and 8607 is 74071842.

2. What are the Factors of 8606?

Answer: Factors of 8606 are 1, 2, 13, 26, 331, 662, 4303, 8606. There are 8 integers that are factors of 8606. The greatest factor of 8606 is 8606.

3. What are the Factors of 8607?

Answer: Factors of 8607 are 1, 3, 19, 57, 151, 453, 2869, 8607. There are 8 integers that are factors of 8607. The greatest factor of 8607 is 8607.

4. How to Find the LCM of 8606 and 8607?

Answer:

Least Common Multiple of 8606 and 8607 = 74071842

Step 1: Find the prime factorization of 8606

8606 = 2 x 13 x 331

Step 2: Find the prime factorization of 8607

8607 = 3 x 19 x 151

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

LCM = 74071842 = 2 x 3 x 13 x 19 x 151 x 331

Step 4: Therefore, the least common multiple of 8606 and 8607 is 74071842.