Least Common Multiple (LCM) of 156 and 118
The least common multiple (LCM) of 156 and 118 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 156 and 118?
First, calculate the GCD of 156 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 118 = 1 remainder 38 |
| 2 | 118 ÷ 38 = 3 remainder 4 |
| 3 | 38 ÷ 4 = 9 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 103 | 19776 |
| 139 and 121 | 16819 |
| 101 and 50 | 5050 |
| 45 and 65 | 585 |
| 182 and 39 | 546 |