Least Common Multiple of 4915 and 4921
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4915 and 4921 the smallest integer that is 24186715 that is divisible by both numbers.
Least Common Multiple (LCM) of 4915 and 4921 is 24186715.
LCM(4915,4921) = 24186715
LCM of 4915 and 4921
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4915 and 4921 by Prime method
- Least Common Multiple of 4915 and 4921 with GCF Formula
LCM of 4915 and 4921 is 24186715
Least common multiple can be found by multiplying the highest exponent prime factors of 4915 and 4921. First we will calculate the prime factors of 4915 and 4921.
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
Prime Factorization of 4921
| 7 | 4921 |
| 19 | 703 |
| 37 | 37 |
| 1 |
Prime factors of 4921 are 7, 19,37. Prime factorization of 4921 in exponential form is:
4921 = 71×191×371
Now multiplying the highest exponent prime factors to calculate the LCM of 4915 and 4921.
LCM(4915,4921) = 51×71×191×371×9831
LCM(4915,4921) = 24186715
Factors of 4915
List of positive integer factors of 4915 that divides 4915 without a remainder.
1, 5, 983, 4915
Factors of 4921
List of positive integer factors of 4921 that divides 4921 without a remainder.
1, 7, 19, 37, 133, 259, 703, 4921
Least Common Multiple of 4915 and 4921 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4915 and 4921, than apply into the LCM equation.
GCF(4915,4921) = 1
LCM(4915,4921) = ( 4915 × 4921) / 1
LCM(4915,4921) = 24186715 / 1
LCM(4915,4921) = 24186715
Properties of LCM 4915 and 4921
(i) The LCM of 4921 and 4915 is associative
LCM of 4915 and 4921 = LCM of 4921 and 4915
Related Least Common Multiples of 4915
Related Least Common Multiples of 4921
Frequently Asked Questions on LCM of 4915 and 4921
1. What is the LCM of 4915 and 4921?
Answer: LCM of 4915 and 4921 is 24186715.
2. 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.
3. What are the Factors of 4921?
Answer: Factors of 4921 are 1, 7, 19, 37, 133, 259, 703, 4921. There are 8 integers that are factors of 4921. The greatest factor of 4921 is 4921.
4. How to Find the LCM of 4915 and 4921?
Answer:
Least Common Multiple of 4915 and 4921 = 24186715
Step 1: Find the prime factorization of 4915
4915 = 5 x 983
Step 2: Find the prime factorization of 4921
4921 = 7 x 19 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24186715 = 5 x 7 x 19 x 37 x 983
Step 4: Therefore, the least common multiple of 4915 and 4921 is 24186715.