Least Common Multiple (LCM) of 118 and 70
The least common multiple (LCM) of 118 and 70 is 4130.
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 118 and 70?
First, calculate the GCD of 118 and 70 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 70 = 1 remainder 48 |
| 2 | 70 ÷ 48 = 1 remainder 22 |
| 3 | 48 ÷ 22 = 2 remainder 4 |
| 4 | 22 ÷ 4 = 5 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 170 | 1190 |
| 56 and 125 | 7000 |
| 133 and 200 | 26600 |
| 90 and 77 | 6930 |
| 190 and 133 | 1330 |