Least Common Multiple of 4072 and 4077

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4072 and 4077 the smallest integer that is 16601544 that is divisible by both numbers.

Least Common Multiple (LCM) of 4072 and 4077 is 16601544.

LCM(4072,4077) = 16601544

LCM of 4072 and 4077

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

LCM of:
and

Least Common Multiple of 4072 and 4077

LCM of 4072 and 4077 is 16601544

Least common multiple can be found by multiplying the highest exponent prime factors of 4072 and 4077. First we will calculate the prime factors of 4072 and 4077.

Prime Factorization of 4072


2 4072
2 2036
2 1018
509 509
1

Prime factors of 4072 are 2,509. Prime factorization of 4072 in exponential form is:

4072 = 23×5091

Prime Factorization of 4077


3 4077
3 1359
3 453
151 151
1

Prime factors of 4077 are 3,151. Prime factorization of 4077 in exponential form is:

4077 = 33×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 4072 and 4077.

LCM(4072,4077) = 23×33×1511×5091
LCM(4072,4077) = 16601544

Factors of 4072

List of positive integer factors of 4072 that divides 4072 without a remainder.

1, 2, 4, 8, 509, 1018, 2036, 4072

Factors of 4077

List of positive integer factors of 4077 that divides 4077 without a remainder.

1, 3, 9, 27, 151, 453, 1359, 4077

Least Common Multiple of 4072 and 4077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4072 and 4077, than apply into the LCM equation.

GCF(4072,4077) = 1
LCM(4072,4077) = ( 4072 × 4077) / 1
LCM(4072,4077) = 16601544 / 1
LCM(4072,4077) = 16601544

Properties of LCM 4072 and 4077

(i) The LCM of 4077 and 4072 is associative

LCM of 4072 and 4077 = LCM of 4077 and 4072

Related Least Common Multiples of 4072

Related Least Common Multiples of 4077

Frequently Asked Questions on LCM of 4072 and 4077

1. What is the LCM of 4072 and 4077?

Answer: LCM of 4072 and 4077 is 16601544.

2. What are the Factors of 4072?

Answer: Factors of 4072 are 1, 2, 4, 8, 509, 1018, 2036, 4072. There are 8 integers that are factors of 4072. The greatest factor of 4072 is 4072.

3. What are the Factors of 4077?

Answer: Factors of 4077 are 1, 3, 9, 27, 151, 453, 1359, 4077. There are 8 integers that are factors of 4077. The greatest factor of 4077 is 4077.

4. How to Find the LCM of 4072 and 4077?

Answer:

Least Common Multiple of 4072 and 4077 = 16601544

Step 1: Find the prime factorization of 4072

4072 = 2 x 2 x 2 x 509

Step 2: Find the prime factorization of 4077

4077 = 3 x 3 x 3 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 = 16601544 = 2 x 2 x 2 x 3 x 3 x 3 x 151 x 509

Step 4: Therefore, the least common multiple of 4072 and 4077 is 16601544.