Least Common Multiple of 5812 and 5816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5812 and 5816 the smallest integer that is 8450648 that is divisible by both numbers.

Least Common Multiple (LCM) of 5812 and 5816 is 8450648.

LCM(5812,5816) = 8450648

LCM of 5812 and 5816

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

LCM of:
and

Least Common Multiple of 5812 and 5816

LCM of 5812 and 5816 is 8450648

Least common multiple can be found by multiplying the highest exponent prime factors of 5812 and 5816. First we will calculate the prime factors of 5812 and 5816.

Prime Factorization of 5812


2 5812
2 2906
1453 1453
1

Prime factors of 5812 are 2,1453. Prime factorization of 5812 in exponential form is:

5812 = 22×14531

Prime Factorization of 5816


2 5816
2 2908
2 1454
727 727
1

Prime factors of 5816 are 2,727. Prime factorization of 5816 in exponential form is:

5816 = 23×7271

Now multiplying the highest exponent prime factors to calculate the LCM of 5812 and 5816.

LCM(5812,5816) = 23×7271×14531
LCM(5812,5816) = 8450648

Factors of 5812

List of positive integer factors of 5812 that divides 5812 without a remainder.

1, 2, 4, 1453, 2906, 5812

Factors of 5816

List of positive integer factors of 5816 that divides 5816 without a remainder.

1, 2, 4, 8, 727, 1454, 2908, 5816

Least Common Multiple of 5812 and 5816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5812 and 5816, than apply into the LCM equation.

GCF(5812,5816) = 4
LCM(5812,5816) = ( 5812 × 5816) / 4
LCM(5812,5816) = 33802592 / 4
LCM(5812,5816) = 8450648

Properties of LCM 5812 and 5816

(i) The LCM of 5816 and 5812 is associative

LCM of 5812 and 5816 = LCM of 5816 and 5812

Related Least Common Multiples of 5812

Related Least Common Multiples of 5816

Frequently Asked Questions on LCM of 5812 and 5816

1. What is the LCM of 5812 and 5816?

Answer: LCM of 5812 and 5816 is 8450648.

2. What are the Factors of 5812?

Answer: Factors of 5812 are 1, 2, 4, 1453, 2906, 5812. There are 6 integers that are factors of 5812. The greatest factor of 5812 is 5812.

3. What are the Factors of 5816?

Answer: Factors of 5816 are 1, 2, 4, 8, 727, 1454, 2908, 5816. There are 8 integers that are factors of 5816. The greatest factor of 5816 is 5816.

4. How to Find the LCM of 5812 and 5816?

Answer:

Least Common Multiple of 5812 and 5816 = 8450648

Step 1: Find the prime factorization of 5812

5812 = 2 x 2 x 1453

Step 2: Find the prime factorization of 5816

5816 = 2 x 2 x 2 x 727

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

LCM = 8450648 = 2 x 2 x 2 x 727 x 1453

Step 4: Therefore, the least common multiple of 5812 and 5816 is 8450648.