Least Common Multiple of 4917 and 4922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4917 and 4922 the smallest integer that is 24201474 that is divisible by both numbers.

Least Common Multiple (LCM) of 4917 and 4922 is 24201474.

LCM(4917,4922) = 24201474

LCM of 4917 and 4922

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

LCM of:
and

Least Common Multiple of 4917 and 4922

LCM of 4917 and 4922 is 24201474

Least common multiple can be found by multiplying the highest exponent prime factors of 4917 and 4922. First we will calculate the prime factors of 4917 and 4922.

Prime Factorization of 4917


3 4917
11 1639
149 149
1

Prime factors of 4917 are 3, 11,149. Prime factorization of 4917 in exponential form is:

4917 = 31×111×1491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4917 and 4922.

LCM(4917,4922) = 21×31×111×231×1071×1491
LCM(4917,4922) = 24201474

Factors of 4917

List of positive integer factors of 4917 that divides 4917 without a remainder.

1, 3, 11, 33, 149, 447, 1639, 4917

Factors of 4922

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

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

Least Common Multiple of 4917 and 4922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4917 and 4922, than apply into the LCM equation.

GCF(4917,4922) = 1
LCM(4917,4922) = ( 4917 × 4922) / 1
LCM(4917,4922) = 24201474 / 1
LCM(4917,4922) = 24201474

Properties of LCM 4917 and 4922

(i) The LCM of 4922 and 4917 is associative

LCM of 4917 and 4922 = LCM of 4922 and 4917

Related Least Common Multiples of 4917

Related Least Common Multiples of 4922

Frequently Asked Questions on LCM of 4917 and 4922

1. What is the LCM of 4917 and 4922?

Answer: LCM of 4917 and 4922 is 24201474.

2. What are the Factors of 4917?

Answer: Factors of 4917 are 1, 3, 11, 33, 149, 447, 1639, 4917. There are 8 integers that are factors of 4917. The greatest factor of 4917 is 4917.

3. 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.

4. How to Find the LCM of 4917 and 4922?

Answer:

Least Common Multiple of 4917 and 4922 = 24201474

Step 1: Find the prime factorization of 4917

4917 = 3 x 11 x 149

Step 2: Find the prime factorization of 4922

4922 = 2 x 23 x 107

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

LCM = 24201474 = 2 x 3 x 11 x 23 x 107 x 149

Step 4: Therefore, the least common multiple of 4917 and 4922 is 24201474.