Least Common Multiple of 8600 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 8600 and 8607 the smallest integer that is 74020200 that is divisible by both numbers.

Least Common Multiple (LCM) of 8600 and 8607 is 74020200.

LCM(8600,8607) = 74020200

LCM of 8600 and 8607

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

LCM of:
and

Least Common Multiple of 8600 and 8607

LCM of 8600 and 8607 is 74020200

Least common multiple can be found by multiplying the highest exponent prime factors of 8600 and 8607. First we will calculate the prime factors of 8600 and 8607.

Prime Factorization of 8600


2 8600
2 4300
2 2150
5 1075
5 215
43 43
1

Prime factors of 8600 are 2, 5,43. Prime factorization of 8600 in exponential form is:

8600 = 23×52×431

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 8600 and 8607.

LCM(8600,8607) = 23×31×52×191×431×1511
LCM(8600,8607) = 74020200

Factors of 8600

List of positive integer factors of 8600 that divides 8600 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 43, 50, 86, 100, 172, 200, 215, 344, 430, 860, 1075, 1720, 2150, 4300, 8600

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 8600 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 8600 and 8607, than apply into the LCM equation.

GCF(8600,8607) = 1
LCM(8600,8607) = ( 8600 × 8607) / 1
LCM(8600,8607) = 74020200 / 1
LCM(8600,8607) = 74020200

Properties of LCM 8600 and 8607

(i) The LCM of 8607 and 8600 is associative

LCM of 8600 and 8607 = LCM of 8607 and 8600

Related Least Common Multiples of 8600

Related Least Common Multiples of 8607

Frequently Asked Questions on LCM of 8600 and 8607

1. What is the LCM of 8600 and 8607?

Answer: LCM of 8600 and 8607 is 74020200.

2. What are the Factors of 8600?

Answer: Factors of 8600 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 43, 50, 86, 100, 172, 200, 215, 344, 430, 860, 1075, 1720, 2150, 4300, 8600. There are 24 integers that are factors of 8600. The greatest factor of 8600 is 8600.

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 8600 and 8607?

Answer:

Least Common Multiple of 8600 and 8607 = 74020200

Step 1: Find the prime factorization of 8600

8600 = 2 x 2 x 2 x 5 x 5 x 43

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 = 74020200 = 2 x 2 x 2 x 3 x 5 x 5 x 19 x 43 x 151

Step 4: Therefore, the least common multiple of 8600 and 8607 is 74020200.