Least Common Multiple of 8615 and 8623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8615 and 8623 the smallest integer that is 74287145 that is divisible by both numbers.

Least Common Multiple (LCM) of 8615 and 8623 is 74287145.

LCM(8615,8623) = 74287145

LCM of 8615 and 8623

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

LCM of:
and

Least Common Multiple of 8615 and 8623

LCM of 8615 and 8623 is 74287145

Least common multiple can be found by multiplying the highest exponent prime factors of 8615 and 8623. First we will calculate the prime factors of 8615 and 8623.

Prime Factorization of 8615


5 8615
1723 1723
1

Prime factors of 8615 are 5,1723. Prime factorization of 8615 in exponential form is:

8615 = 51×17231

Prime Factorization of 8623


8623 8623
1

Prime factors of 8623 are 8623. Prime factorization of 8623 in exponential form is:

8623 = 86231

Now multiplying the highest exponent prime factors to calculate the LCM of 8615 and 8623.

LCM(8615,8623) = 51×17231×86231
LCM(8615,8623) = 74287145

Factors of 8615

List of positive integer factors of 8615 that divides 8615 without a remainder.

1, 5, 1723, 8615

Factors of 8623

List of positive integer factors of 8623 that divides 8623 without a remainder.

1, 8623

Least Common Multiple of 8615 and 8623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8615 and 8623, than apply into the LCM equation.

GCF(8615,8623) = 1
LCM(8615,8623) = ( 8615 × 8623) / 1
LCM(8615,8623) = 74287145 / 1
LCM(8615,8623) = 74287145

Properties of LCM 8615 and 8623

(i) The LCM of 8623 and 8615 is associative

LCM of 8615 and 8623 = LCM of 8623 and 8615

Related Least Common Multiples of 8615

Related Least Common Multiples of 8623

Frequently Asked Questions on LCM of 8615 and 8623

1. What is the LCM of 8615 and 8623?

Answer: LCM of 8615 and 8623 is 74287145.

2. What are the Factors of 8615?

Answer: Factors of 8615 are 1, 5, 1723, 8615. There are 4 integers that are factors of 8615. The greatest factor of 8615 is 8615.

3. What are the Factors of 8623?

Answer: Factors of 8623 are 1, 8623. There are 2 integers that are factors of 8623. The greatest factor of 8623 is 8623.

4. How to Find the LCM of 8615 and 8623?

Answer:

Least Common Multiple of 8615 and 8623 = 74287145

Step 1: Find the prime factorization of 8615

8615 = 5 x 1723

Step 2: Find the prime factorization of 8623

8623 = 8623

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

LCM = 74287145 = 5 x 1723 x 8623

Step 4: Therefore, the least common multiple of 8615 and 8623 is 74287145.