Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4918 and 4922 the smallest integer that is 12103198 that is divisible by both numbers.
Least Common Multiple (LCM) of 4918 and 4922 is 12103198.
LCM(4918,4922) = 12103198
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 4918 and 4922. First we will calculate the prime factors of 4918 and 4922.
Prime Factorization of 4918
2 | 4918 |
2459 | 2459 |
1 |
Prime factors of 4918 are 2,2459. Prime factorization of 4918 in exponential form is:
4918 = 21×24591
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 4918 and 4922.
LCM(4918,4922) = 21×231×1071×24591
LCM(4918,4922) = 12103198
Factors of 4918
List of positive integer factors of 4918 that divides 4918 without a remainder.
1, 2, 2459, 4918
Factors of 4922
List of positive integer factors of 4922 that divides 4922 without a remainder.
1, 2, 23, 46, 107, 214, 2461, 4922
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4918 and 4922, than apply into the LCM equation.
GCF(4918,4922) = 2
LCM(4918,4922) = ( 4918 × 4922) / 2
LCM(4918,4922) = 24206396 / 2
LCM(4918,4922) = 12103198
(i) The LCM of 4922 and 4918 is associative
LCM of 4918 and 4922 = LCM of 4922 and 4918
1. What is the LCM of 4918 and 4922?
Answer: LCM of 4918 and 4922 is 12103198.
2. What are the Factors of 4918?
Answer: Factors of 4918 are 1, 2, 2459, 4918. There are 4 integers that are factors of 4918. The greatest factor of 4918 is 4918.
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 4918 and 4922?
Answer:
Least Common Multiple of 4918 and 4922 = 12103198
Step 1: Find the prime factorization of 4918
4918 = 2 x 2459
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 = 12103198 = 2 x 23 x 107 x 2459
Step 4: Therefore, the least common multiple of 4918 and 4922 is 12103198.