Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4912 and 4918 the smallest integer that is 12078608 that is divisible by both numbers.
Least Common Multiple (LCM) of 4912 and 4918 is 12078608.
LCM(4912,4918) = 12078608
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 4912 and 4918. First we will calculate the prime factors of 4912 and 4918.
Prime Factorization of 4912
2 | 4912 |
2 | 2456 |
2 | 1228 |
2 | 614 |
307 | 307 |
1 |
Prime factors of 4912 are 2,307. Prime factorization of 4912 in exponential form is:
4912 = 24×3071
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4912 and 4918.
LCM(4912,4918) = 24×3071×24591
LCM(4912,4918) = 12078608
Factors of 4912
List of positive integer factors of 4912 that divides 4912 without a remainder.
1, 2, 4, 8, 16, 307, 614, 1228, 2456, 4912
Factors of 4918
List of positive integer factors of 4918 that divides 4918 without a remainder.
1, 2, 2459, 4918
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4912 and 4918, than apply into the LCM equation.
GCF(4912,4918) = 2
LCM(4912,4918) = ( 4912 × 4918) / 2
LCM(4912,4918) = 24157216 / 2
LCM(4912,4918) = 12078608
(i) The LCM of 4918 and 4912 is associative
LCM of 4912 and 4918 = LCM of 4918 and 4912
1. What is the LCM of 4912 and 4918?
Answer: LCM of 4912 and 4918 is 12078608.
2. What are the Factors of 4912?
Answer: Factors of 4912 are 1, 2, 4, 8, 16, 307, 614, 1228, 2456, 4912. There are 10 integers that are factors of 4912. The greatest factor of 4912 is 4912.
3. 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.
4. How to Find the LCM of 4912 and 4918?
Answer:
Least Common Multiple of 4912 and 4918 = 12078608
Step 1: Find the prime factorization of 4912
4912 = 2 x 2 x 2 x 2 x 307
Step 2: Find the prime factorization of 4918
4918 = 2 x 2459
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12078608 = 2 x 2 x 2 x 2 x 307 x 2459
Step 4: Therefore, the least common multiple of 4912 and 4918 is 12078608.