Least Common Multiple of 4084 and 4090

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4084 and 4090 the smallest integer that is 8351780 that is divisible by both numbers.

Least Common Multiple (LCM) of 4084 and 4090 is 8351780.

LCM(4084,4090) = 8351780

LCM of 4084 and 4090

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

LCM of:
and

Least Common Multiple of 4084 and 4090

LCM of 4084 and 4090 is 8351780

Least common multiple can be found by multiplying the highest exponent prime factors of 4084 and 4090. First we will calculate the prime factors of 4084 and 4090.

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

Prime Factorization of 4090


2 4090
5 2045
409 409
1

Prime factors of 4090 are 2, 5,409. Prime factorization of 4090 in exponential form is:

4090 = 21×51×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 4084 and 4090.

LCM(4084,4090) = 22×51×4091×10211
LCM(4084,4090) = 8351780

Factors of 4084

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

1, 2, 4, 1021, 2042, 4084

Factors of 4090

List of positive integer factors of 4090 that divides 4090 without a remainder.

1, 2, 5, 10, 409, 818, 2045, 4090

Least Common Multiple of 4084 and 4090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4084 and 4090, than apply into the LCM equation.

GCF(4084,4090) = 2
LCM(4084,4090) = ( 4084 × 4090) / 2
LCM(4084,4090) = 16703560 / 2
LCM(4084,4090) = 8351780

Properties of LCM 4084 and 4090

(i) The LCM of 4090 and 4084 is associative

LCM of 4084 and 4090 = LCM of 4090 and 4084

Related Least Common Multiples of 4084

Related Least Common Multiples of 4090

Frequently Asked Questions on LCM of 4084 and 4090

1. What is the LCM of 4084 and 4090?

Answer: LCM of 4084 and 4090 is 8351780.

2. 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.

3. What are the Factors of 4090?

Answer: Factors of 4090 are 1, 2, 5, 10, 409, 818, 2045, 4090. There are 8 integers that are factors of 4090. The greatest factor of 4090 is 4090.

4. How to Find the LCM of 4084 and 4090?

Answer:

Least Common Multiple of 4084 and 4090 = 8351780

Step 1: Find the prime factorization of 4084

4084 = 2 x 2 x 1021

Step 2: Find the prime factorization of 4090

4090 = 2 x 5 x 409

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

LCM = 8351780 = 2 x 2 x 5 x 409 x 1021

Step 4: Therefore, the least common multiple of 4084 and 4090 is 8351780.