Least Common Multiple of 8015 and 8023

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8015 and 8023 the smallest integer that is 64304345 that is divisible by both numbers.

Least Common Multiple (LCM) of 8015 and 8023 is 64304345.

LCM(8015,8023) = 64304345

LCM of 8015 and 8023

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

LCM of:
and

Least Common Multiple of 8015 and 8023

LCM of 8015 and 8023 is 64304345

Least common multiple can be found by multiplying the highest exponent prime factors of 8015 and 8023. First we will calculate the prime factors of 8015 and 8023.

Prime Factorization of 8015


5 8015
7 1603
229 229
1

Prime factors of 8015 are 5, 7,229. Prime factorization of 8015 in exponential form is:

8015 = 51×71×2291

Prime Factorization of 8023


71 8023
113 113
1

Prime factors of 8023 are 71,113. Prime factorization of 8023 in exponential form is:

8023 = 711×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 8015 and 8023.

LCM(8015,8023) = 51×71×711×1131×2291
LCM(8015,8023) = 64304345

Factors of 8015

List of positive integer factors of 8015 that divides 8015 without a remainder.

1, 5, 7, 35, 229, 1145, 1603, 8015

Factors of 8023

List of positive integer factors of 8023 that divides 8023 without a remainder.

1, 71, 113, 8023

Least Common Multiple of 8015 and 8023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8015 and 8023, than apply into the LCM equation.

GCF(8015,8023) = 1
LCM(8015,8023) = ( 8015 × 8023) / 1
LCM(8015,8023) = 64304345 / 1
LCM(8015,8023) = 64304345

Properties of LCM 8015 and 8023

(i) The LCM of 8023 and 8015 is associative

LCM of 8015 and 8023 = LCM of 8023 and 8015

Related Least Common Multiples of 8015

Related Least Common Multiples of 8023

Frequently Asked Questions on LCM of 8015 and 8023

1. What is the LCM of 8015 and 8023?

Answer: LCM of 8015 and 8023 is 64304345.

2. What are the Factors of 8015?

Answer: Factors of 8015 are 1, 5, 7, 35, 229, 1145, 1603, 8015. There are 8 integers that are factors of 8015. The greatest factor of 8015 is 8015.

3. What are the Factors of 8023?

Answer: Factors of 8023 are 1, 71, 113, 8023. There are 4 integers that are factors of 8023. The greatest factor of 8023 is 8023.

4. How to Find the LCM of 8015 and 8023?

Answer:

Least Common Multiple of 8015 and 8023 = 64304345

Step 1: Find the prime factorization of 8015

8015 = 5 x 7 x 229

Step 2: Find the prime factorization of 8023

8023 = 71 x 113

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

LCM = 64304345 = 5 x 7 x 71 x 113 x 229

Step 4: Therefore, the least common multiple of 8015 and 8023 is 64304345.