Least Common Multiple (LCM) of 118 and 136
The least common multiple (LCM) of 118 and 136 is 8024.
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 136?
First, calculate the GCD of 118 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 136 = 0 remainder 118 |
| 2 | 136 ÷ 118 = 1 remainder 18 |
| 3 | 118 ÷ 18 = 6 remainder 10 |
| 4 | 18 ÷ 10 = 1 remainder 8 |
| 5 | 10 ÷ 8 = 1 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 70 | 3990 |
| 174 and 135 | 7830 |
| 85 and 197 | 16745 |
| 16 and 24 | 48 |
| 118 and 39 | 4602 |