Least Common Multiple of 70 and 73
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 73 the smallest integer that is 5110 that is divisible by both numbers.
Least Common Multiple (LCM) of 70 and 73 is 5110.
LCM(70,73) = 5110
LCM of 70 and 73
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 70 and 73 by Prime method
- Least Common Multiple of 70 and 73 with GCF Formula
LCM of 70 and 73 is 5110
Least common multiple can be found by multiplying the highest exponent prime factors of 70 and 73. First we will calculate the prime factors of 70 and 73.
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 73
| 73 | 73 |
| 1 |
Prime factors of 73 are 73. Prime factorization of 73 in exponential form is:
73 = 731
Now multiplying the highest exponent prime factors to calculate the LCM of 70 and 73.
LCM(70,73) = 21×51×71×731
LCM(70,73) = 5110
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 73
List of positive integer factors of 73 that divides 73 without a remainder.
1, 73
Least Common Multiple of 70 and 73 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 73, than apply into the LCM equation.
GCF(70,73) = 1
LCM(70,73) = ( 70 × 73) / 1
LCM(70,73) = 5110 / 1
LCM(70,73) = 5110
Properties of LCM 70 and 73
(i) The LCM of 73 and 70 is associative
LCM of 70 and 73 = LCM of 73 and 70
Related Least Common Multiples of 70
Related Least Common Multiples of 73
Frequently Asked Questions on LCM of 70 and 73
1. What is the LCM of 70 and 73?
Answer: LCM of 70 and 73 is 5110.
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 73?
Answer: Factors of 73 are 1, 73. There are 2 integers that are factors of 73. The greatest factor of 73 is 73.
4. How to Find the LCM of 70 and 73?
Answer:
Least Common Multiple of 70 and 73 = 5110
Step 1: Find the prime factorization of 70
70 = 2 x 5 x 7
Step 2: Find the prime factorization of 73
73 = 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5110 = 2 x 5 x 7 x 73
Step 4: Therefore, the least common multiple of 70 and 73 is 5110.
