Least Common Multiple of 8016 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 8016 and 8023 the smallest integer that is 64312368 that is divisible by both numbers.

Least Common Multiple (LCM) of 8016 and 8023 is 64312368.

LCM(8016,8023) = 64312368

LCM of 8016 and 8023

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

LCM of:
and

Least Common Multiple of 8016 and 8023

LCM of 8016 and 8023 is 64312368

Least common multiple can be found by multiplying the highest exponent prime factors of 8016 and 8023. First we will calculate the prime factors of 8016 and 8023.

Prime Factorization of 8016


2 8016
2 4008
2 2004
2 1002
3 501
167 167
1

Prime factors of 8016 are 2, 3,167. Prime factorization of 8016 in exponential form is:

8016 = 24×31×1671

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 8016 and 8023.

LCM(8016,8023) = 24×31×711×1131×1671
LCM(8016,8023) = 64312368

Factors of 8016

List of positive integer factors of 8016 that divides 8016 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 167, 334, 501, 668, 1002, 1336, 2004, 2672, 4008, 8016

Factors of 8023

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

1, 71, 113, 8023

Least Common Multiple of 8016 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 8016 and 8023, than apply into the LCM equation.

GCF(8016,8023) = 1
LCM(8016,8023) = ( 8016 × 8023) / 1
LCM(8016,8023) = 64312368 / 1
LCM(8016,8023) = 64312368

Properties of LCM 8016 and 8023

(i) The LCM of 8023 and 8016 is associative

LCM of 8016 and 8023 = LCM of 8023 and 8016

Related Least Common Multiples of 8016

Related Least Common Multiples of 8023

Frequently Asked Questions on LCM of 8016 and 8023

1. What is the LCM of 8016 and 8023?

Answer: LCM of 8016 and 8023 is 64312368.

2. What are the Factors of 8016?

Answer: Factors of 8016 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 167, 334, 501, 668, 1002, 1336, 2004, 2672, 4008, 8016. There are 20 integers that are factors of 8016. The greatest factor of 8016 is 8016.

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 8016 and 8023?

Answer:

Least Common Multiple of 8016 and 8023 = 64312368

Step 1: Find the prime factorization of 8016

8016 = 2 x 2 x 2 x 2 x 3 x 167

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 = 64312368 = 2 x 2 x 2 x 2 x 3 x 71 x 113 x 167

Step 4: Therefore, the least common multiple of 8016 and 8023 is 64312368.