Least Common Multiple of 4922 and 4926

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4922 and 4926 the smallest integer that is 12122886 that is divisible by both numbers.

Least Common Multiple (LCM) of 4922 and 4926 is 12122886.

LCM(4922,4926) = 12122886

LCM of 4922 and 4926

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

LCM of:
and

Least Common Multiple of 4922 and 4926

LCM of 4922 and 4926 is 12122886

Least common multiple can be found by multiplying the highest exponent prime factors of 4922 and 4926. First we will calculate the prime factors of 4922 and 4926.

Prime Factorization of 4922


2 4922
23 2461
107 107
1

Prime factors of 4922 are 2, 23,107. Prime factorization of 4922 in exponential form is:

4922 = 21×231×1071

Prime Factorization of 4926


2 4926
3 2463
821 821
1

Prime factors of 4926 are 2, 3,821. Prime factorization of 4926 in exponential form is:

4926 = 21×31×8211

Now multiplying the highest exponent prime factors to calculate the LCM of 4922 and 4926.

LCM(4922,4926) = 21×31×231×1071×8211
LCM(4922,4926) = 12122886

Factors of 4922

List of positive integer factors of 4922 that divides 4922 without a remainder.

1, 2, 23, 46, 107, 214, 2461, 4922

Factors of 4926

List of positive integer factors of 4926 that divides 4926 without a remainder.

1, 2, 3, 6, 821, 1642, 2463, 4926

Least Common Multiple of 4922 and 4926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4922 and 4926, than apply into the LCM equation.

GCF(4922,4926) = 2
LCM(4922,4926) = ( 4922 × 4926) / 2
LCM(4922,4926) = 24245772 / 2
LCM(4922,4926) = 12122886

Properties of LCM 4922 and 4926

(i) The LCM of 4926 and 4922 is associative

LCM of 4922 and 4926 = LCM of 4926 and 4922

Related Least Common Multiples of 4922

Related Least Common Multiples of 4926

Frequently Asked Questions on LCM of 4922 and 4926

1. What is the LCM of 4922 and 4926?

Answer: LCM of 4922 and 4926 is 12122886.

2. What are the Factors of 4922?

Answer: Factors of 4922 are 1, 2, 23, 46, 107, 214, 2461, 4922. There are 8 integers that are factors of 4922. The greatest factor of 4922 is 4922.

3. What are the Factors of 4926?

Answer: Factors of 4926 are 1, 2, 3, 6, 821, 1642, 2463, 4926. There are 8 integers that are factors of 4926. The greatest factor of 4926 is 4926.

4. How to Find the LCM of 4922 and 4926?

Answer:

Least Common Multiple of 4922 and 4926 = 12122886

Step 1: Find the prime factorization of 4922

4922 = 2 x 23 x 107

Step 2: Find the prime factorization of 4926

4926 = 2 x 3 x 821

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

LCM = 12122886 = 2 x 3 x 23 x 107 x 821

Step 4: Therefore, the least common multiple of 4922 and 4926 is 12122886.