Least Common Multiple (LCM) of 70 and 131
The least common multiple (LCM) of 70 and 131 is 9170.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 70 and 131?
First, calculate the GCD of 70 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 70 ÷ 131 = 0 remainder 70 |
| 2 | 131 ÷ 70 = 1 remainder 61 |
| 3 | 70 ÷ 61 = 1 remainder 9 |
| 4 | 61 ÷ 9 = 6 remainder 7 |
| 5 | 9 ÷ 7 = 1 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 115 | 4600 |
| 73 and 27 | 1971 |
| 180 and 70 | 1260 |
| 128 and 79 | 10112 |
| 162 and 164 | 13284 |