Least Common Multiple of 4078 and 4084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4078 and 4084 the smallest integer that is 8327276 that is divisible by both numbers.

Least Common Multiple (LCM) of 4078 and 4084 is 8327276.

LCM(4078,4084) = 8327276

LCM of 4078 and 4084

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

LCM of:
and

Least Common Multiple of 4078 and 4084

LCM of 4078 and 4084 is 8327276

Least common multiple can be found by multiplying the highest exponent prime factors of 4078 and 4084. First we will calculate the prime factors of 4078 and 4084.

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

Prime Factorization of 4084


2 4084
2 2042
1021 1021
1

Prime factors of 4084 are 2,1021. Prime factorization of 4084 in exponential form is:

4084 = 22×10211

Now multiplying the highest exponent prime factors to calculate the LCM of 4078 and 4084.

LCM(4078,4084) = 22×10211×20391
LCM(4078,4084) = 8327276

Factors of 4078

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

1, 2, 2039, 4078

Factors of 4084

List of positive integer factors of 4084 that divides 4084 without a remainder.

1, 2, 4, 1021, 2042, 4084

Least Common Multiple of 4078 and 4084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4078 and 4084, than apply into the LCM equation.

GCF(4078,4084) = 2
LCM(4078,4084) = ( 4078 × 4084) / 2
LCM(4078,4084) = 16654552 / 2
LCM(4078,4084) = 8327276

Properties of LCM 4078 and 4084

(i) The LCM of 4084 and 4078 is associative

LCM of 4078 and 4084 = LCM of 4084 and 4078

Related Least Common Multiples of 4078

Related Least Common Multiples of 4084

Frequently Asked Questions on LCM of 4078 and 4084

1. What is the LCM of 4078 and 4084?

Answer: LCM of 4078 and 4084 is 8327276.

2. 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.

3. What are the Factors of 4084?

Answer: Factors of 4084 are 1, 2, 4, 1021, 2042, 4084. There are 6 integers that are factors of 4084. The greatest factor of 4084 is 4084.

4. How to Find the LCM of 4078 and 4084?

Answer:

Least Common Multiple of 4078 and 4084 = 8327276

Step 1: Find the prime factorization of 4078

4078 = 2 x 2039

Step 2: Find the prime factorization of 4084

4084 = 2 x 2 x 1021

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

LCM = 8327276 = 2 x 2 x 1021 x 2039

Step 4: Therefore, the least common multiple of 4078 and 4084 is 8327276.