Least Common Multiple of 4072 and 4078

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 4078 the smallest integer that is 8302808 that is divisible by both numbers.

Least Common Multiple (LCM) of 4072 and 4078 is 8302808.

LCM(4072,4078) = 8302808

LCM of 4072 and 4078

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

LCM of:
and

Least Common Multiple of 4072 and 4078

LCM of 4072 and 4078 is 8302808

Least common multiple can be found by multiplying the highest exponent prime factors of 4072 and 4078. First we will calculate the prime factors of 4072 and 4078.

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 4078


2 4078
2039 2039
1

Prime factors of 4078 are 2,2039. Prime factorization of 4078 in exponential form is:

4078 = 21×20391

Now multiplying the highest exponent prime factors to calculate the LCM of 4072 and 4078.

LCM(4072,4078) = 23×5091×20391
LCM(4072,4078) = 8302808

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 4078

List of positive integer factors of 4078 that divides 4078 without a remainder.

1, 2, 2039, 4078

Least Common Multiple of 4072 and 4078 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 4078, than apply into the LCM equation.

GCF(4072,4078) = 2
LCM(4072,4078) = ( 4072 × 4078) / 2
LCM(4072,4078) = 16605616 / 2
LCM(4072,4078) = 8302808

Properties of LCM 4072 and 4078

(i) The LCM of 4078 and 4072 is associative

LCM of 4072 and 4078 = LCM of 4078 and 4072

Related Least Common Multiples of 4072

Related Least Common Multiples of 4078

Frequently Asked Questions on LCM of 4072 and 4078

1. What is the LCM of 4072 and 4078?

Answer: LCM of 4072 and 4078 is 8302808.

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 4078?

Answer: Factors of 4078 are 1, 2, 2039, 4078. There are 4 integers that are factors of 4078. The greatest factor of 4078 is 4078.

4. How to Find the LCM of 4072 and 4078?

Answer:

Least Common Multiple of 4072 and 4078 = 8302808

Step 1: Find the prime factorization of 4072

4072 = 2 x 2 x 2 x 509

Step 2: Find the prime factorization of 4078

4078 = 2 x 2039

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

LCM = 8302808 = 2 x 2 x 2 x 509 x 2039

Step 4: Therefore, the least common multiple of 4072 and 4078 is 8302808.