Least Common Multiple of 4076 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 4076 and 4084 the smallest integer that is 4161596 that is divisible by both numbers.

Least Common Multiple (LCM) of 4076 and 4084 is 4161596.

LCM(4076,4084) = 4161596

LCM of 4076 and 4084

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

LCM of:
and

Least Common Multiple of 4076 and 4084

LCM of 4076 and 4084 is 4161596

Least common multiple can be found by multiplying the highest exponent prime factors of 4076 and 4084. First we will calculate the prime factors of 4076 and 4084.

Prime Factorization of 4076


2 4076
2 2038
1019 1019
1

Prime factors of 4076 are 2,1019. Prime factorization of 4076 in exponential form is:

4076 = 22×10191

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 4076 and 4084.

LCM(4076,4084) = 22×10191×10211
LCM(4076,4084) = 4161596

Factors of 4076

List of positive integer factors of 4076 that divides 4076 without a remainder.

1, 2, 4, 1019, 2038, 4076

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 4076 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 4076 and 4084, than apply into the LCM equation.

GCF(4076,4084) = 4
LCM(4076,4084) = ( 4076 × 4084) / 4
LCM(4076,4084) = 16646384 / 4
LCM(4076,4084) = 4161596

Properties of LCM 4076 and 4084

(i) The LCM of 4084 and 4076 is associative

LCM of 4076 and 4084 = LCM of 4084 and 4076

Related Least Common Multiples of 4076

Related Least Common Multiples of 4084

Frequently Asked Questions on LCM of 4076 and 4084

1. What is the LCM of 4076 and 4084?

Answer: LCM of 4076 and 4084 is 4161596.

2. What are the Factors of 4076?

Answer: Factors of 4076 are 1, 2, 4, 1019, 2038, 4076. There are 6 integers that are factors of 4076. The greatest factor of 4076 is 4076.

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 4076 and 4084?

Answer:

Least Common Multiple of 4076 and 4084 = 4161596

Step 1: Find the prime factorization of 4076

4076 = 2 x 2 x 1019

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 = 4161596 = 2 x 2 x 1019 x 1021

Step 4: Therefore, the least common multiple of 4076 and 4084 is 4161596.