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 4914 the smallest integer that is 3444714 that is divisible by both numbers.
Least Common Multiple (LCM) of 4907 and 4914 is 3444714.
LCM(4907,4914) = 3444714
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 4914. First we will calculate the prime factors of 4907 and 4914.
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 4914
2 | 4914 |
3 | 2457 |
3 | 819 |
3 | 273 |
7 | 91 |
13 | 13 |
1 |
Prime factors of 4914 are 2, 3, 7,13. Prime factorization of 4914 in exponential form is:
4914 = 21×33×71×131
Now multiplying the highest exponent prime factors to calculate the LCM of 4907 and 4914.
LCM(4907,4914) = 21×33×71×131×7011
LCM(4907,4914) = 3444714
Factors of 4907
List of positive integer factors of 4907 that divides 4907 without a remainder.
1, 7, 701, 4907
Factors of 4914
List of positive integer factors of 4914 that divides 4914 without a remainder.
1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457, 4914
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4907 and 4914, than apply into the LCM equation.
GCF(4907,4914) = 7
LCM(4907,4914) = ( 4907 × 4914) / 7
LCM(4907,4914) = 24112998 / 7
LCM(4907,4914) = 3444714
(i) The LCM of 4914 and 4907 is associative
LCM of 4907 and 4914 = LCM of 4914 and 4907
1. What is the LCM of 4907 and 4914?
Answer: LCM of 4907 and 4914 is 3444714.
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 4914?
Answer: Factors of 4914 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457, 4914. There are 32 integers that are factors of 4914. The greatest factor of 4914 is 4914.
4. How to Find the LCM of 4907 and 4914?
Answer:
Least Common Multiple of 4907 and 4914 = 3444714
Step 1: Find the prime factorization of 4907
4907 = 7 x 701
Step 2: Find the prime factorization of 4914
4914 = 2 x 3 x 3 x 3 x 7 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 3444714 = 2 x 3 x 3 x 3 x 7 x 13 x 701
Step 4: Therefore, the least common multiple of 4907 and 4914 is 3444714.