Least Common Multiple of 4970 and 4975
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4970 and 4975 the smallest integer that is 4945150 that is divisible by both numbers.
Least Common Multiple (LCM) of 4970 and 4975 is 4945150.
LCM(4970,4975) = 4945150
LCM of 4970 and 4975
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4970 and 4975 by Prime method
- Least Common Multiple of 4970 and 4975 with GCF Formula
LCM of 4970 and 4975 is 4945150
Least common multiple can be found by multiplying the highest exponent prime factors of 4970 and 4975. First we will calculate the prime factors of 4970 and 4975.
Prime Factorization of 4970
| 2 | 4970 |
| 5 | 2485 |
| 7 | 497 |
| 71 | 71 |
| 1 |
Prime factors of 4970 are 2, 5, 7,71. Prime factorization of 4970 in exponential form is:
4970 = 21×51×71×711
Prime Factorization of 4975
| 5 | 4975 |
| 5 | 995 |
| 199 | 199 |
| 1 |
Prime factors of 4975 are 5,199. Prime factorization of 4975 in exponential form is:
4975 = 52×1991
Now multiplying the highest exponent prime factors to calculate the LCM of 4970 and 4975.
LCM(4970,4975) = 21×52×71×711×1991
LCM(4970,4975) = 4945150
Factors of 4970
List of positive integer factors of 4970 that divides 4970 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 71, 142, 355, 497, 710, 994, 2485, 4970
Factors of 4975
List of positive integer factors of 4975 that divides 4975 without a remainder.
1, 5, 25, 199, 995, 4975
Least Common Multiple of 4970 and 4975 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4970 and 4975, than apply into the LCM equation.
GCF(4970,4975) = 5
LCM(4970,4975) = ( 4970 × 4975) / 5
LCM(4970,4975) = 24725750 / 5
LCM(4970,4975) = 4945150
Properties of LCM 4970 and 4975
(i) The LCM of 4975 and 4970 is associative
LCM of 4970 and 4975 = LCM of 4975 and 4970
Related Least Common Multiples of 4970
Related Least Common Multiples of 4975
Frequently Asked Questions on LCM of 4970 and 4975
1. What is the LCM of 4970 and 4975?
Answer: LCM of 4970 and 4975 is 4945150.
2. What are the Factors of 4970?
Answer: Factors of 4970 are 1, 2, 5, 7, 10, 14, 35, 70, 71, 142, 355, 497, 710, 994, 2485, 4970. There are 16 integers that are factors of 4970. The greatest factor of 4970 is 4970.
3. What are the Factors of 4975?
Answer: Factors of 4975 are 1, 5, 25, 199, 995, 4975. There are 6 integers that are factors of 4975. The greatest factor of 4975 is 4975.
4. How to Find the LCM of 4970 and 4975?
Answer:
Least Common Multiple of 4970 and 4975 = 4945150
Step 1: Find the prime factorization of 4970
4970 = 2 x 5 x 7 x 71
Step 2: Find the prime factorization of 4975
4975 = 5 x 5 x 199
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4945150 = 2 x 5 x 5 x 7 x 71 x 199
Step 4: Therefore, the least common multiple of 4970 and 4975 is 4945150.
