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 4915 the smallest integer that is 24117905 that is divisible by both numbers.
Least Common Multiple (LCM) of 4907 and 4915 is 24117905.
LCM(4907,4915) = 24117905
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 4915. First we will calculate the prime factors of 4907 and 4915.
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 4915
5 | 4915 |
983 | 983 |
1 |
Prime factors of 4915 are 5,983. Prime factorization of 4915 in exponential form is:
4915 = 51×9831
Now multiplying the highest exponent prime factors to calculate the LCM of 4907 and 4915.
LCM(4907,4915) = 51×71×7011×9831
LCM(4907,4915) = 24117905
Factors of 4907
List of positive integer factors of 4907 that divides 4907 without a remainder.
1, 7, 701, 4907
Factors of 4915
List of positive integer factors of 4915 that divides 4915 without a remainder.
1, 5, 983, 4915
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4907 and 4915, than apply into the LCM equation.
GCF(4907,4915) = 1
LCM(4907,4915) = ( 4907 × 4915) / 1
LCM(4907,4915) = 24117905 / 1
LCM(4907,4915) = 24117905
(i) The LCM of 4915 and 4907 is associative
LCM of 4907 and 4915 = LCM of 4915 and 4907
1. What is the LCM of 4907 and 4915?
Answer: LCM of 4907 and 4915 is 24117905.
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 4915?
Answer: Factors of 4915 are 1, 5, 983, 4915. There are 4 integers that are factors of 4915. The greatest factor of 4915 is 4915.
4. How to Find the LCM of 4907 and 4915?
Answer:
Least Common Multiple of 4907 and 4915 = 24117905
Step 1: Find the prime factorization of 4907
4907 = 7 x 701
Step 2: Find the prime factorization of 4915
4915 = 5 x 983
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24117905 = 5 x 7 x 701 x 983
Step 4: Therefore, the least common multiple of 4907 and 4915 is 24117905.