Least Common Multiple (LCM) of 117 and 93
The least common multiple (LCM) of 117 and 93 is 3627.
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 117 and 93?
First, calculate the GCD of 117 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 93 = 1 remainder 24 |
| 2 | 93 ÷ 24 = 3 remainder 21 |
| 3 | 24 ÷ 21 = 1 remainder 3 |
| 4 | 21 ÷ 3 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 76 | 2964 |
| 24 and 57 | 456 |
| 114 and 31 | 3534 |
| 69 and 29 | 2001 |
| 163 and 76 | 12388 |