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 |
|---|---|
| 19 and 176 | 3344 |
| 126 and 184 | 11592 |
| 171 and 32 | 5472 |
| 61 and 16 | 976 |
| 129 and 140 | 18060 |