Least Common Multiple of 70 and 71
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 70 and 71 the smallest integer that is 4970 that is divisible by both numbers.
Least Common Multiple (LCM) of 70 and 71 is 4970.
LCM(70,71) = 4970
LCM of 70 and 71
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 70 and 71 by Prime method
- Least Common Multiple of 70 and 71 with GCF Formula
LCM of 70 and 71 is 4970
Least common multiple can be found by multiplying the highest exponent prime factors of 70 and 71. First we will calculate the prime factors of 70 and 71.
Prime Factorization of 70
| 2 | 70 |
| 5 | 35 |
| 7 | 7 |
| 1 |
Prime factors of 70 are 2, 5,7. Prime factorization of 70 in exponential form is:
70 = 21×51×71
Prime Factorization of 71
| 71 | 71 |
| 1 |
Prime factors of 71 are 71. Prime factorization of 71 in exponential form is:
71 = 711
Now multiplying the highest exponent prime factors to calculate the LCM of 70 and 71.
LCM(70,71) = 21×51×71×711
LCM(70,71) = 4970
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1, 71
Least Common Multiple of 70 and 71 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70 and 71, than apply into the LCM equation.
GCF(70,71) = 1
LCM(70,71) = ( 70 × 71) / 1
LCM(70,71) = 4970 / 1
LCM(70,71) = 4970
Properties of LCM 70 and 71
(i) The LCM of 71 and 70 is associative
LCM of 70 and 71 = LCM of 71 and 70
Related Least Common Multiples of 70
Related Least Common Multiples of 71
Frequently Asked Questions on LCM of 70 and 71
1. What is the LCM of 70 and 71?
Answer: LCM of 70 and 71 is 4970.
2. What are the Factors of 70?
Answer: Factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70. There are 8 integers that are factors of 70. The greatest factor of 70 is 70.
3. What are the Factors of 71?
Answer: Factors of 71 are 1, 71. There are 2 integers that are factors of 71. The greatest factor of 71 is 71.
4. How to Find the LCM of 70 and 71?
Answer:
Least Common Multiple of 70 and 71 = 4970
Step 1: Find the prime factorization of 70
70 = 2 x 5 x 7
Step 2: Find the prime factorization of 71
71 = 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4970 = 2 x 5 x 7 x 71
Step 4: Therefore, the least common multiple of 70 and 71 is 4970.