Least Common Multiple (LCM) of 118 and 156
The least common multiple (LCM) of 118 and 156 is 9204.
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 156?
First, calculate the GCD of 118 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 156 = 0 remainder 118 |
| 2 | 156 ÷ 118 = 1 remainder 38 |
| 3 | 118 ÷ 38 = 3 remainder 4 |
| 4 | 38 ÷ 4 = 9 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 37 | 4033 |
| 27 and 176 | 4752 |
| 36 and 195 | 2340 |
| 58 and 88 | 2552 |
| 122 and 71 | 8662 |