Least Common Multiple of 4971 and 4979
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4971 and 4979 the smallest integer that is 24750609 that is divisible by both numbers.
Least Common Multiple (LCM) of 4971 and 4979 is 24750609.
LCM(4971,4979) = 24750609
LCM of 4971 and 4979
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4971 and 4979 by Prime method
- Least Common Multiple of 4971 and 4979 with GCF Formula
LCM of 4971 and 4979 is 24750609
Least common multiple can be found by multiplying the highest exponent prime factors of 4971 and 4979. First we will calculate the prime factors of 4971 and 4979.
Prime Factorization of 4971
| 3 | 4971 |
| 1657 | 1657 |
| 1 |
Prime factors of 4971 are 3,1657. Prime factorization of 4971 in exponential form is:
4971 = 31×16571
Prime Factorization of 4979
| 13 | 4979 |
| 383 | 383 |
| 1 |
Prime factors of 4979 are 13,383. Prime factorization of 4979 in exponential form is:
4979 = 131×3831
Now multiplying the highest exponent prime factors to calculate the LCM of 4971 and 4979.
LCM(4971,4979) = 31×131×3831×16571
LCM(4971,4979) = 24750609
Factors of 4971
List of positive integer factors of 4971 that divides 4971 without a remainder.
1, 3, 1657, 4971
Factors of 4979
List of positive integer factors of 4979 that divides 4979 without a remainder.
1, 13, 383, 4979
Least Common Multiple of 4971 and 4979 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4971 and 4979, than apply into the LCM equation.
GCF(4971,4979) = 1
LCM(4971,4979) = ( 4971 × 4979) / 1
LCM(4971,4979) = 24750609 / 1
LCM(4971,4979) = 24750609
Properties of LCM 4971 and 4979
(i) The LCM of 4979 and 4971 is associative
LCM of 4971 and 4979 = LCM of 4979 and 4971
Related Least Common Multiples of 4971
Related Least Common Multiples of 4979
Frequently Asked Questions on LCM of 4971 and 4979
1. What is the LCM of 4971 and 4979?
Answer: LCM of 4971 and 4979 is 24750609.
2. What are the Factors of 4971?
Answer: Factors of 4971 are 1, 3, 1657, 4971. There are 4 integers that are factors of 4971. The greatest factor of 4971 is 4971.
3. What are the Factors of 4979?
Answer: Factors of 4979 are 1, 13, 383, 4979. There are 4 integers that are factors of 4979. The greatest factor of 4979 is 4979.
4. How to Find the LCM of 4971 and 4979?
Answer:
Least Common Multiple of 4971 and 4979 = 24750609
Step 1: Find the prime factorization of 4971
4971 = 3 x 1657
Step 2: Find the prime factorization of 4979
4979 = 13 x 383
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24750609 = 3 x 13 x 383 x 1657
Step 4: Therefore, the least common multiple of 4971 and 4979 is 24750609.