Least Common Multiple of 7979 and 7985
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7979 and 7985 the smallest integer that is 63712315 that is divisible by both numbers.
Least Common Multiple (LCM) of 7979 and 7985 is 63712315.
LCM(7979,7985) = 63712315
LCM of 7979 and 7985
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7979 and 7985 by Prime method
- Least Common Multiple of 7979 and 7985 with GCF Formula
LCM of 7979 and 7985 is 63712315
Least common multiple can be found by multiplying the highest exponent prime factors of 7979 and 7985. First we will calculate the prime factors of 7979 and 7985.
Prime Factorization of 7979
| 79 | 7979 |
| 101 | 101 |
| 1 |
Prime factors of 7979 are 79,101. Prime factorization of 7979 in exponential form is:
7979 = 791×1011
Prime Factorization of 7985
| 5 | 7985 |
| 1597 | 1597 |
| 1 |
Prime factors of 7985 are 5,1597. Prime factorization of 7985 in exponential form is:
7985 = 51×15971
Now multiplying the highest exponent prime factors to calculate the LCM of 7979 and 7985.
LCM(7979,7985) = 51×791×1011×15971
LCM(7979,7985) = 63712315
Factors of 7979
List of positive integer factors of 7979 that divides 7979 without a remainder.
1, 79, 101, 7979
Factors of 7985
List of positive integer factors of 7985 that divides 7985 without a remainder.
1, 5, 1597, 7985
Least Common Multiple of 7979 and 7985 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7979 and 7985, than apply into the LCM equation.
GCF(7979,7985) = 1
LCM(7979,7985) = ( 7979 × 7985) / 1
LCM(7979,7985) = 63712315 / 1
LCM(7979,7985) = 63712315
Properties of LCM 7979 and 7985
(i) The LCM of 7985 and 7979 is associative
LCM of 7979 and 7985 = LCM of 7985 and 7979
Related Least Common Multiples of 7979
Related Least Common Multiples of 7985
Frequently Asked Questions on LCM of 7979 and 7985
1. What is the LCM of 7979 and 7985?
Answer: LCM of 7979 and 7985 is 63712315.
2. What are the Factors of 7979?
Answer: Factors of 7979 are 1, 79, 101, 7979. There are 4 integers that are factors of 7979. The greatest factor of 7979 is 7979.
3. What are the Factors of 7985?
Answer: Factors of 7985 are 1, 5, 1597, 7985. There are 4 integers that are factors of 7985. The greatest factor of 7985 is 7985.
4. How to Find the LCM of 7979 and 7985?
Answer:
Least Common Multiple of 7979 and 7985 = 63712315
Step 1: Find the prime factorization of 7979
7979 = 79 x 101
Step 2: Find the prime factorization of 7985
7985 = 5 x 1597
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 63712315 = 5 x 79 x 101 x 1597
Step 4: Therefore, the least common multiple of 7979 and 7985 is 63712315.