Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4907 and 4912 the smallest integer that is 24103184 that is divisible by both numbers.
Least Common Multiple (LCM) of 4907 and 4912 is 24103184.
LCM(4907,4912) = 24103184
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 4907 and 4912. First we will calculate the prime factors of 4907 and 4912.
Prime Factorization of 4907
7 | 4907 |
701 | 701 |
1 |
Prime factors of 4907 are 7,701. Prime factorization of 4907 in exponential form is:
4907 = 71×7011
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4907 and 4912.
LCM(4907,4912) = 24×71×3071×7011
LCM(4907,4912) = 24103184
Factors of 4907
List of positive integer factors of 4907 that divides 4907 without a remainder.
1, 7, 701, 4907
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4907 and 4912, than apply into the LCM equation.
GCF(4907,4912) = 1
LCM(4907,4912) = ( 4907 × 4912) / 1
LCM(4907,4912) = 24103184 / 1
LCM(4907,4912) = 24103184
(i) The LCM of 4912 and 4907 is associative
LCM of 4907 and 4912 = LCM of 4912 and 4907
1. What is the LCM of 4907 and 4912?
Answer: LCM of 4907 and 4912 is 24103184.
2. What are the Factors of 4907?
Answer: Factors of 4907 are 1, 7, 701, 4907. There are 4 integers that are factors of 4907. The greatest factor of 4907 is 4907.
3. 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.
4. How to Find the LCM of 4907 and 4912?
Answer:
Least Common Multiple of 4907 and 4912 = 24103184
Step 1: Find the prime factorization of 4907
4907 = 7 x 701
Step 2: Find the prime factorization of 4912
4912 = 2 x 2 x 2 x 2 x 307
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24103184 = 2 x 2 x 2 x 2 x 7 x 307 x 701
Step 4: Therefore, the least common multiple of 4907 and 4912 is 24103184.