Least Common Multiple of 4822 and 4826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4822 and 4826 the smallest integer that is 11635486 that is divisible by both numbers.

Least Common Multiple (LCM) of 4822 and 4826 is 11635486.

LCM(4822,4826) = 11635486

LCM of 4822 and 4826

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

LCM of:
and

Least Common Multiple of 4822 and 4826

LCM of 4822 and 4826 is 11635486

Least common multiple can be found by multiplying the highest exponent prime factors of 4822 and 4826. First we will calculate the prime factors of 4822 and 4826.

Prime Factorization of 4822


2 4822
2411 2411
1

Prime factors of 4822 are 2,2411. Prime factorization of 4822 in exponential form is:

4822 = 21×24111

Prime Factorization of 4826


2 4826
19 2413
127 127
1

Prime factors of 4826 are 2, 19,127. Prime factorization of 4826 in exponential form is:

4826 = 21×191×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 4822 and 4826.

LCM(4822,4826) = 21×191×1271×24111
LCM(4822,4826) = 11635486

Factors of 4822

List of positive integer factors of 4822 that divides 4822 without a remainder.

1, 2, 2411, 4822

Factors of 4826

List of positive integer factors of 4826 that divides 4826 without a remainder.

1, 2, 19, 38, 127, 254, 2413, 4826

Least Common Multiple of 4822 and 4826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4822 and 4826, than apply into the LCM equation.

GCF(4822,4826) = 2
LCM(4822,4826) = ( 4822 × 4826) / 2
LCM(4822,4826) = 23270972 / 2
LCM(4822,4826) = 11635486

Properties of LCM 4822 and 4826

(i) The LCM of 4826 and 4822 is associative

LCM of 4822 and 4826 = LCM of 4826 and 4822

Related Least Common Multiples of 4822

Related Least Common Multiples of 4826

Frequently Asked Questions on LCM of 4822 and 4826

1. What is the LCM of 4822 and 4826?

Answer: LCM of 4822 and 4826 is 11635486.

2. What are the Factors of 4822?

Answer: Factors of 4822 are 1, 2, 2411, 4822. There are 4 integers that are factors of 4822. The greatest factor of 4822 is 4822.

3. What are the Factors of 4826?

Answer: Factors of 4826 are 1, 2, 19, 38, 127, 254, 2413, 4826. There are 8 integers that are factors of 4826. The greatest factor of 4826 is 4826.

4. How to Find the LCM of 4822 and 4826?

Answer:

Least Common Multiple of 4822 and 4826 = 11635486

Step 1: Find the prime factorization of 4822

4822 = 2 x 2411

Step 2: Find the prime factorization of 4826

4826 = 2 x 19 x 127

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

LCM = 11635486 = 2 x 19 x 127 x 2411

Step 4: Therefore, the least common multiple of 4822 and 4826 is 11635486.