Least Common Multiple (LCM) of 156 and 93
The least common multiple (LCM) of 156 and 93 is 4836.
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 93?
First, calculate the GCD of 156 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 93 = 1 remainder 63 |
| 2 | 93 ÷ 63 = 1 remainder 30 |
| 3 | 63 ÷ 30 = 2 remainder 3 |
| 4 | 30 ÷ 3 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 54 | 4806 |
| 137 and 186 | 25482 |
| 71 and 125 | 8875 |
| 62 and 49 | 3038 |
| 60 and 173 | 10380 |