Least Common Multiple (LCM) of 117 and 27
The least common multiple (LCM) of 117 and 27 is 351.
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 27?
First, calculate the GCD of 117 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 27 = 4 remainder 9 |
| 2 | 27 ÷ 9 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 124 | 8556 |
| 167 and 182 | 30394 |
| 40 and 49 | 1960 |
| 56 and 135 | 7560 |
| 124 and 107 | 13268 |