Least Common Multiple of 4015 and 4023

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4015 and 4023 the smallest integer that is 16152345 that is divisible by both numbers.

Least Common Multiple (LCM) of 4015 and 4023 is 16152345.

LCM(4015,4023) = 16152345

LCM of 4015 and 4023

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

LCM of:
and

Least Common Multiple of 4015 and 4023

LCM of 4015 and 4023 is 16152345

Least common multiple can be found by multiplying the highest exponent prime factors of 4015 and 4023. First we will calculate the prime factors of 4015 and 4023.

Prime Factorization of 4015


5 4015
11 803
73 73
1

Prime factors of 4015 are 5, 11,73. Prime factorization of 4015 in exponential form is:

4015 = 51×111×731

Prime Factorization of 4023


3 4023
3 1341
3 447
149 149
1

Prime factors of 4023 are 3,149. Prime factorization of 4023 in exponential form is:

4023 = 33×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 4015 and 4023.

LCM(4015,4023) = 33×51×111×731×1491
LCM(4015,4023) = 16152345

Factors of 4015

List of positive integer factors of 4015 that divides 4015 without a remainder.

1, 5, 11, 55, 73, 365, 803, 4015

Factors of 4023

List of positive integer factors of 4023 that divides 4023 without a remainder.

1, 3, 9, 27, 149, 447, 1341, 4023

Least Common Multiple of 4015 and 4023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4015 and 4023, than apply into the LCM equation.

GCF(4015,4023) = 1
LCM(4015,4023) = ( 4015 × 4023) / 1
LCM(4015,4023) = 16152345 / 1
LCM(4015,4023) = 16152345

Properties of LCM 4015 and 4023

(i) The LCM of 4023 and 4015 is associative

LCM of 4015 and 4023 = LCM of 4023 and 4015

Related Least Common Multiples of 4015

Related Least Common Multiples of 4023

Frequently Asked Questions on LCM of 4015 and 4023

1. What is the LCM of 4015 and 4023?

Answer: LCM of 4015 and 4023 is 16152345.

2. What are the Factors of 4015?

Answer: Factors of 4015 are 1, 5, 11, 55, 73, 365, 803, 4015. There are 8 integers that are factors of 4015. The greatest factor of 4015 is 4015.

3. What are the Factors of 4023?

Answer: Factors of 4023 are 1, 3, 9, 27, 149, 447, 1341, 4023. There are 8 integers that are factors of 4023. The greatest factor of 4023 is 4023.

4. How to Find the LCM of 4015 and 4023?

Answer:

Least Common Multiple of 4015 and 4023 = 16152345

Step 1: Find the prime factorization of 4015

4015 = 5 x 11 x 73

Step 2: Find the prime factorization of 4023

4023 = 3 x 3 x 3 x 149

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

LCM = 16152345 = 3 x 3 x 3 x 5 x 11 x 73 x 149

Step 4: Therefore, the least common multiple of 4015 and 4023 is 16152345.