Least Common Multiple of 4922 and 4924

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 4924 the smallest integer that is 12117964 that is divisible by both numbers.

Least Common Multiple (LCM) of 4922 and 4924 is 12117964.

LCM(4922,4924) = 12117964

LCM of 4922 and 4924

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

LCM of:
and

Least Common Multiple of 4922 and 4924

LCM of 4922 and 4924 is 12117964

Least common multiple can be found by multiplying the highest exponent prime factors of 4922 and 4924. First we will calculate the prime factors of 4922 and 4924.

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 4924


2 4924
2 2462
1231 1231
1

Prime factors of 4924 are 2,1231. Prime factorization of 4924 in exponential form is:

4924 = 22×12311

Now multiplying the highest exponent prime factors to calculate the LCM of 4922 and 4924.

LCM(4922,4924) = 22×231×1071×12311
LCM(4922,4924) = 12117964

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 4924

List of positive integer factors of 4924 that divides 4924 without a remainder.

1, 2, 4, 1231, 2462, 4924

Least Common Multiple of 4922 and 4924 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 4924, than apply into the LCM equation.

GCF(4922,4924) = 2
LCM(4922,4924) = ( 4922 × 4924) / 2
LCM(4922,4924) = 24235928 / 2
LCM(4922,4924) = 12117964

Properties of LCM 4922 and 4924

(i) The LCM of 4924 and 4922 is associative

LCM of 4922 and 4924 = LCM of 4924 and 4922

Related Least Common Multiples of 4922

Related Least Common Multiples of 4924

Frequently Asked Questions on LCM of 4922 and 4924

1. What is the LCM of 4922 and 4924?

Answer: LCM of 4922 and 4924 is 12117964.

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 4924?

Answer: Factors of 4924 are 1, 2, 4, 1231, 2462, 4924. There are 6 integers that are factors of 4924. The greatest factor of 4924 is 4924.

4. How to Find the LCM of 4922 and 4924?

Answer:

Least Common Multiple of 4922 and 4924 = 12117964

Step 1: Find the prime factorization of 4922

4922 = 2 x 23 x 107

Step 2: Find the prime factorization of 4924

4924 = 2 x 2 x 1231

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

LCM = 12117964 = 2 x 2 x 23 x 107 x 1231

Step 4: Therefore, the least common multiple of 4922 and 4924 is 12117964.